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Finding the Third Proportional to 109,086.75 and 238,474.13

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Solution

The third proportional to 109,086.75 and 238,474.13 is: 521,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,086.75 : 238,474.13 = 238,474.13 : x
  2. Step 2: Convert to fraction form
    109,086.75/238,474.13 = 238,474.13/x
  3. Step 3: Cross multiply
    109,086.75x = 238,474.13 × 238,474.13
  4. Step 4: Simplify right side
    109,086.75x = 56,869,908,294.52
  5. Step 5: Solve for x
    x = 56,869,908,294.52/109,086.75
  6. Step 6: Final answer
    x = 521,327.37

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