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Finding the Third Proportional to 81,116,538,625 and 119,244,910,207

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Solution

The third proportional to 81,116,538,625 and 119,244,910,207 is: 175,295,307,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,116,538,625 : 119,244,910,207 = 119,244,910,207 : x
  2. Step 2: Convert to fraction form
    81,116,538,625/119,244,910,207 = 119,244,910,207/x
  3. Step 3: Cross multiply
    81,116,538,625x = 119,244,910,207 × 119,244,910,207
  4. Step 4: Simplify right side
    81,116,538,625x = 14,219,348,610,275,493,281,792
  5. Step 5: Solve for x
    x = 14,219,348,610,275,493,281,792/81,116,538,625
  6. Step 6: Final answer
    x = 175,295,307,853.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.