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Finding the Third Proportional to 83,897,380.76 and 197,769,456.04

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Solution

The third proportional to 83,897,380.76 and 197,769,456.04 is: 466,197,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,897,380.76 : 197,769,456.04 = 197,769,456.04 : x
  2. Step 2: Convert to fraction form
    83,897,380.76/197,769,456.04 = 197,769,456.04/x
  3. Step 3: Cross multiply
    83,897,380.76x = 197,769,456.04 × 197,769,456.04
  4. Step 4: Simplify right side
    83,897,380.76x = 39,112,757,740,443,088
  5. Step 5: Solve for x
    x = 39,112,757,740,443,088/83,897,380.76
  6. Step 6: Final answer
    x = 466,197,602.20

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.