For some transformation having kinetics that obey the Avrami equation $($Equation $11\mathrm{.}17),$ the parameter $n$ is known to have a value of $1\mathrm{.}9.$ If$,$ after $107s,$ the reaction is $50\%$ complete, how long $($total time$)$ will it take the transformation to go to $97\%$ completion?