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Finding the Third Proportional to 177,789,086 and 267,156,966

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Solution

The third proportional to 177,789,086 and 267,156,966 is: 401,446,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,789,086 : 267,156,966 = 267,156,966 : x
  2. Step 2: Convert to fraction form
    177,789,086/267,156,966 = 267,156,966/x
  3. Step 3: Cross multiply
    177,789,086x = 267,156,966 × 267,156,966
  4. Step 4: Simplify right side
    177,789,086x = 71,372,844,482,325,152
  5. Step 5: Solve for x
    x = 71,372,844,482,325,152/177,789,086
  6. Step 6: Final answer
    x = 401,446,714.69

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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.