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Finding the Third Proportional to 181,951,578 and 260,192,876

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Solution

The third proportional to 181,951,578 and 260,192,876 is: 372,078,843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,951,578 : 260,192,876 = 260,192,876 : x
  2. Step 2: Convert to fraction form
    181,951,578/260,192,876 = 260,192,876/x
  3. Step 3: Cross multiply
    181,951,578x = 260,192,876 × 260,192,876
  4. Step 4: Simplify right side
    181,951,578x = 67,700,332,721,151,376
  5. Step 5: Solve for x
    x = 67,700,332,721,151,376/181,951,578
  6. Step 6: Final answer
    x = 372,078,843.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.