Finding the Third Proportional to 99,885,142,447 and 144,316,781,874
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Solution
The third proportional to 99,885,142,447 and 144,316,781,874 is: 208,512,828,036.65
Step by Step Solution
- Step 1: Write the proportion equation
99,885,142,447 : 144,316,781,874 = 144,316,781,874 : x - Step 2: Convert to fraction form
99,885,142,447/144,316,781,874 = 144,316,781,874/x - Step 3: Cross multiply
99,885,142,447x = 144,316,781,874 × 144,316,781,874 - Step 4: Simplify right side
99,885,142,447x = 20,827,333,530,467,694,542,848 - Step 5: Solve for x
x = 20,827,333,530,467,694,542,848/99,885,142,447 - Step 6: Final answer
x = 208,512,828,036.65
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.