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Finding the Third Proportional to 102,087,769 and 156,916,217

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Solution

The third proportional to 102,087,769 and 156,916,217 is: 241,191,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087,769 : 156,916,217 = 156,916,217 : x
  2. Step 2: Convert to fraction form
    102,087,769/156,916,217 = 156,916,217/x
  3. Step 3: Cross multiply
    102,087,769x = 156,916,217 × 156,916,217
  4. Step 4: Simplify right side
    102,087,769x = 24,622,699,157,591,088
  5. Step 5: Solve for x
    x = 24,622,699,157,591,088/102,087,769
  6. Step 6: Final answer
    x = 241,191,470.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.