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Finding the Third Proportional to 108,111.38 and 234,474.75

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Solution

The third proportional to 108,111.38 and 234,474.75 is: 508,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,111.38 : 234,474.75 = 234,474.75 : x
  2. Step 2: Convert to fraction form
    108,111.38/234,474.75 = 234,474.75/x
  3. Step 3: Cross multiply
    108,111.38x = 234,474.75 × 234,474.75
  4. Step 4: Simplify right side
    108,111.38x = 54,978,408,387.56
  5. Step 5: Solve for x
    x = 54,978,408,387.56/108,111.38
  6. Step 6: Final answer
    x = 508,534.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.