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Finding the Third Proportional to 177,789,084 and 267,156,964

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Solution

The third proportional to 177,789,084 and 267,156,964 is: 401,446,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,789,084 : 267,156,964 = 267,156,964 : x
  2. Step 2: Convert to fraction form
    177,789,084/267,156,964 = 267,156,964/x
  3. Step 3: Cross multiply
    177,789,084x = 267,156,964 × 267,156,964
  4. Step 4: Simplify right side
    177,789,084x = 71,372,843,413,697,296
  5. Step 5: Solve for x
    x = 71,372,843,413,697,296/177,789,084
  6. Step 6: Final answer
    x = 401,446,713.19

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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.