Question

James had a peach that was 98mm in diameter. One day he watered it with a magical solution, and it grew to 188,869 mm in diameter. Approximately how many times as large did the diameter of the peach become after James watered it?

Answer 1

We know that 98mm is the 100% of the diameter of the plant before James watered with the magical solution; after he watered, the diameter of the plant grew to 188.869mm. Let $x$ be the grew in the percentage of the diameter. 
Now we can establish a ratio and solve for $x$:
$\frac{98}{100} = \frac{188.869}{x}$
$x= \frac{(188.869)(100)}{98}$
$x=192.7$ %
Now that we know the diameter of the plant grew 192.7%, we just need to divide that quantity by 100% to find how many times the diameter grew:
$\frac{192.7}{100} =1.927$

We can conclude that the diameter of the peach become approximately 1.9 times larger after James watered it.