The ratio 216:x is equivalent to the ratio x^{2}:216. What is the value of x?

alesterp

alesterp

Answered question

2021-02-06

The ratio 216:x is equivalent to the ratio x2:216. What is the value of x?

Answer & Explanation

Leonard Stokes

Leonard Stokes

Skilled2021-02-07Added 98 answers

The ratio 216:x written as a fraction is 216/x. 
The ratio x2:216 written as a fraction is (x2)216 
In the event that the ratios are equivalent (i.e., equal), then
216x=x2216 
216×216=x×x2 
46,656=x3 
346,656=3x6 
36=x

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