Hm. When I unpack those two values, they are distinctly different:
printf "%17.17f\n", unpack 'd', pack 'b64',
'1001110001010011100010111001000010000101000001010110011000000010';;
181.01965800261112000
printf "%17.17f\n", unpack 'd', pack 'b64',
'1010110001010011100010111001000010000101000001010110011000000010';;
181.01965800261101000
$first = unpack 'd', pack 'b64',
'1001110001010011100010111001000010000101000001010110011000000010';;
$second = unpack 'd', pack 'b64',
'1010110001010011100010111001000010000101000001010110011000000010';;
printf "%f %f ;> %17.17f\n", $first, $second, $first - $second;;
181.019658 181.019658 ;> 0.00000000000011369
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