[10 mark] Newton and Leibniz are co-founders of a tech startup that recently secured significant funding. They decide to invest their profits into two distinct portfolios, based on their risk appetite and investment strategies. Newton puts $100,000 into a high-growth tech fund, which has been growing at a rate of 12% per year, compounded continuously. Leibniz, on the other hand, invests $85,000 into a steady blue-chip fund, which is growing at a rate of 15% per year, but is only compounded quarterly. Given their different investment strategies, calculate how long it will take until both their portfolios have the same value, assuming no additional deposits or withdrawals are made during this period.