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Finding the Third Proportional to 148,980,806 and 320,730,522.50

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Solution

The third proportional to 148,980,806 and 320,730,522.50 is: 690,478,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,980,806 : 320,730,522.50 = 320,730,522.50 : x
  2. Step 2: Convert to fraction form
    148,980,806/320,730,522.50 = 320,730,522.50/x
  3. Step 3: Cross multiply
    148,980,806x = 320,730,522.50 × 320,730,522.50
  4. Step 4: Simplify right side
    148,980,806x = 102,868,068,063,123,008
  5. Step 5: Solve for x
    x = 102,868,068,063,123,008/148,980,806
  6. Step 6: Final answer
    x = 690,478,665.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.