SAT Question 9fa781f8: Ratios Rates Proportional Relationships And Units answer and explanation with Desmos solution

It's given that the ratio of $x$ to $y$ is equivalent to the ratio $9$ to $5$. It follows that $\frac{x}{y}=\frac{9}{5}$. Multiplying each side of this equation by $5y$ yields $\frac{\left(5y\right)x}{y}=\frac{9\left(5y\right)}{5}$, or $5x=9y$. Dividing each side of this equation by $9$ yields $\frac{5x}{9}=y$. Substituting $162$ for $x$ in this equation yields $\frac{5\left(162\right)}{9}=y$, which is equivalent to $\frac{810}{9}=y$, or $90=y$. Therefore, if the value of $x$ is $162$, the value of $y$ is $90$.