How to top up my bottle without messing up my e-liquid's nicotine and aroma concentration?

Scenario

I'm prepping for a holiday next week and I realize my e-liquid is running low. My 120ml bottle only has 35ml left, currently at 8% of aroma and 3mg/ml of nicotine concentration. How can I refill it while maintaining the current flavor and nicotine strength?

Explanation

We have 35ml in our 120ml bottle currently, allowing us 85ml of room for the refill. The task at hand is figuring out the precise amount of each ingredient to add.

We'll need the following:

• Your 120ml bottle containing the remaining 35ml e-liquid (with the 8% aroma and 3mg/ml of nicotine concentration)
• A concentrated aroma bottle
• A 20mg/ml nicotine booster bottle
• A base bottle (ensure this is the same PG/VG ratio as your original liquid mix)

Let's try to calculate the ratio of what's actually in the bottle!

Before we get started, Let's try to calculate the exact proportions in the remaining 35ml e-liquid:

1) 8% of the existing 35ml e-liquid is aroma.

2) The current e-liquid has a 3mg/ml nicotine concentration.

This gives us a total of 105mg of nicotine presently in the bottle.

We need to divide the quantity of nicotine by the concentration of the nicotine booster.

We get the quantity of nicotine booster in the 35ml e-liquid left.

However, you can simplify this equation as:

Here's the equation's result here for our case:

3) Finally, the base quantity can be calculated as:

With our formula in place, let's apply it to the 85ml refill:

1) Keeping the aroma concentration at 8%, the calculation for 85ml is:

2) And, maintaining the 3mg/ml nicotine concentration for 85ml, we get upon calculations:

We know now that we need 255mg of nicotine.

We are going to convert this to get how much nicotine booster quantity we need

Or by using the formula from the first section:

3) Lastly, the remaining quantity would be your base:

So, to fill your bottle to the top, simply add :

Voila, your bottle is vacation-ready!