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Finding the Third Proportional to 123,131.11 and 269,616.66

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Solution

The third proportional to 123,131.11 and 269,616.66 is: 590,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,131.11 : 269,616.66 = 269,616.66 : x
  2. Step 2: Convert to fraction form
    123,131.11/269,616.66 = 269,616.66/x
  3. Step 3: Cross multiply
    123,131.11x = 269,616.66 × 269,616.66
  4. Step 4: Simplify right side
    123,131.11x = 72,693,141,327.43
  5. Step 5: Solve for x
    x = 72,693,141,327.43/123,131.11
  6. Step 6: Final answer
    x = 590,371.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.