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Finding the Third Proportional to 109,532.25 and 233,188.88

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Solution

The third proportional to 109,532.25 and 233,188.88 is: 496,447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,532.25 : 233,188.88 = 233,188.88 : x
  2. Step 2: Convert to fraction form
    109,532.25/233,188.88 = 233,188.88/x
  3. Step 3: Cross multiply
    109,532.25x = 233,188.88 × 233,188.88
  4. Step 4: Simplify right side
    109,532.25x = 54,377,051,423.77
  5. Step 5: Solve for x
    x = 54,377,051,423.77/109,532.25
  6. Step 6: Final answer
    x = 496,447.86

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.