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Finding the Third Proportional to 102,873,465 and 156,721,947.75

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Solution

The third proportional to 102,873,465 and 156,721,947.75 is: 238,757,087.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,873,465 : 156,721,947.75 = 156,721,947.75 : x
  2. Step 2: Convert to fraction form
    102,873,465/156,721,947.75 = 156,721,947.75/x
  3. Step 3: Cross multiply
    102,873,465x = 156,721,947.75 × 156,721,947.75
  4. Step 4: Simplify right side
    102,873,465x = 24,561,768,906,553,732
  5. Step 5: Solve for x
    x = 24,561,768,906,553,732/102,873,465
  6. Step 6: Final answer
    x = 238,757,087.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.