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Finding the Third Proportional to 120,723,698 and 261,503,082

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Solution

The third proportional to 120,723,698 and 261,503,082 is: 566,449,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,723,698 : 261,503,082 = 261,503,082 : x
  2. Step 2: Convert to fraction form
    120,723,698/261,503,082 = 261,503,082/x
  3. Step 3: Cross multiply
    120,723,698x = 261,503,082 × 261,503,082
  4. Step 4: Simplify right side
    120,723,698x = 68,383,861,895,498,720
  5. Step 5: Solve for x
    x = 68,383,861,895,498,720/120,723,698
  6. Step 6: Final answer
    x = 566,449,363.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.