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Finding the Third Proportional to 123,700,399.50 and 181,764,058.50

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Solution

The third proportional to 123,700,399.50 and 181,764,058.50 is: 267,082,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,700,399.50 : 181,764,058.50 = 181,764,058.50 : x
  2. Step 2: Convert to fraction form
    123,700,399.50/181,764,058.50 = 181,764,058.50/x
  3. Step 3: Cross multiply
    123,700,399.50x = 181,764,058.50 × 181,764,058.50
  4. Step 4: Simplify right side
    123,700,399.50x = 33,038,172,962,391,424
  5. Step 5: Solve for x
    x = 33,038,172,962,391,424/123,700,399.50
  6. Step 6: Final answer
    x = 267,082,184.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.