Suppose that $a$ is inversely proportional to $b$. Let $a_1,a_2$ be two nonzero values of $a$ such that $\frac{a_1}{a_2}=\frac{2}{3}$. Let the corresponding $b$ values be $b_1,b_2$, If $b_1,b_2$ are nonzero, find the value of $\frac{b_1}{b_2}$.
Inversely proportional, i.e. $\boxed{\frac{3}{2}}$. (reciprocal of two thirds)