Two high precision pendulums move through their equilibrium positions once each second, so that the periods of each is precisely $2\mathrm{.}000$ s$.$ One of them is in Copenhagen, Denmark and has a length of $0\mathrm{.}99503$ m$.$ The other is in Nairobi, Kenya and has a length of $0\mathrm{.}99000$ m$.$ What is the ratio of the free$-$fall acceleration of gravity g at these two cities? $($Give your answer to at least $5$ decimal places.$)$

gCopenhagen, DenmarkgNairobi, Kenya

$=$