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Finding the Third Proportional to 109,609.88 and 239,056.31

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Solution

The third proportional to 109,609.88 and 239,056.31 is: 521,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,609.88 : 239,056.31 = 239,056.31 : x
  2. Step 2: Convert to fraction form
    109,609.88/239,056.31 = 239,056.31/x
  3. Step 3: Cross multiply
    109,609.88x = 239,056.31 × 239,056.31
  4. Step 4: Simplify right side
    109,609.88x = 57,147,920,546.10
  5. Step 5: Solve for x
    x = 57,147,920,546.10/109,609.88
  6. Step 6: Final answer
    x = 521,375.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.