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Finding the Third Proportional to 177,789,044 and 267,156,907

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Solution

The third proportional to 177,789,044 and 267,156,907 is: 401,446,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,789,044 : 267,156,907 = 267,156,907 : x
  2. Step 2: Convert to fraction form
    177,789,044/267,156,907 = 267,156,907/x
  3. Step 3: Cross multiply
    177,789,044x = 267,156,907 × 267,156,907
  4. Step 4: Simplify right side
    177,789,044x = 71,372,812,957,806,648
  5. Step 5: Solve for x
    x = 71,372,812,957,806,648/177,789,044
  6. Step 6: Final answer
    x = 401,446,632.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.