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Finding the Third Proportional to 81,157,156 and 165,148,654

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Solution

The third proportional to 81,157,156 and 165,148,654 is: 336,064,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,157,156 : 165,148,654 = 165,148,654 : x
  2. Step 2: Convert to fraction form
    81,157,156/165,148,654 = 165,148,654/x
  3. Step 3: Cross multiply
    81,157,156x = 165,148,654 × 165,148,654
  4. Step 4: Simplify right side
    81,157,156x = 27,274,077,918,011,716
  5. Step 5: Solve for x
    x = 27,274,077,918,011,716/81,157,156
  6. Step 6: Final answer
    x = 336,064,978.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.