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Finding the Third Proportional to 82,712,394 and 137,374,776

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Solution

The third proportional to 82,712,394 and 137,374,776 is: 228,162,046.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,712,394 : 137,374,776 = 137,374,776 : x
  2. Step 2: Convert to fraction form
    82,712,394/137,374,776 = 137,374,776/x
  3. Step 3: Cross multiply
    82,712,394x = 137,374,776 × 137,374,776
  4. Step 4: Simplify right side
    82,712,394x = 18,871,829,081,050,176
  5. Step 5: Solve for x
    x = 18,871,829,081,050,176/82,712,394
  6. Step 6: Final answer
    x = 228,162,046.44

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.