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Finding the Third Proportional to 138,214.13 and 291,187.13

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Solution

The third proportional to 138,214.13 and 291,187.13 is: 613,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,214.13 : 291,187.13 = 291,187.13 : x
  2. Step 2: Convert to fraction form
    138,214.13/291,187.13 = 291,187.13/x
  3. Step 3: Cross multiply
    138,214.13x = 291,187.13 × 291,187.13
  4. Step 4: Simplify right side
    138,214.13x = 84,789,941,765.77
  5. Step 5: Solve for x
    x = 84,789,941,765.77/138,214.13
  6. Step 6: Final answer
    x = 613,467.99

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.