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Finding the Third Proportional to 267,148,181 and 408,667,103

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Solution

The third proportional to 267,148,181 and 408,667,103 is: 625,154,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,148,181 : 408,667,103 = 408,667,103 : x
  2. Step 2: Convert to fraction form
    267,148,181/408,667,103 = 408,667,103/x
  3. Step 3: Cross multiply
    267,148,181x = 408,667,103 × 408,667,103
  4. Step 4: Simplify right side
    267,148,181x = 167,008,801,074,412,608
  5. Step 5: Solve for x
    x = 167,008,801,074,412,608/267,148,181
  6. Step 6: Final answer
    x = 625,154,176.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.