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Finding the Third Proportional to 120,728,176.50 and 261,872,523

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Solution

The third proportional to 120,728,176.50 and 261,872,523 is: 568,029,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,728,176.50 : 261,872,523 = 261,872,523 : x
  2. Step 2: Convert to fraction form
    120,728,176.50/261,872,523 = 261,872,523/x
  3. Step 3: Cross multiply
    120,728,176.50x = 261,872,523 × 261,872,523
  4. Step 4: Simplify right side
    120,728,176.50x = 68,577,218,302,385,528
  5. Step 5: Solve for x
    x = 68,577,218,302,385,528/120,728,176.50
  6. Step 6: Final answer
    x = 568,029,935.43

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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.