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Finding the Third Proportional to 177,789,058 and 267,156,923

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Solution

The third proportional to 177,789,058 and 267,156,923 is: 401,446,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,789,058 : 267,156,923 = 267,156,923 : x
  2. Step 2: Convert to fraction form
    177,789,058/267,156,923 = 267,156,923/x
  3. Step 3: Cross multiply
    177,789,058x = 267,156,923 × 267,156,923
  4. Step 4: Simplify right side
    177,789,058x = 71,372,821,506,827,928
  5. Step 5: Solve for x
    x = 71,372,821,506,827,928/177,789,058
  6. Step 6: Final answer
    x = 401,446,648.68

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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.