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Finding the Third Proportional to 109,201.88 and 233,584.13

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Solution

The third proportional to 109,201.88 and 233,584.13 is: 499,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,201.88 : 233,584.13 = 233,584.13 : x
  2. Step 2: Convert to fraction form
    109,201.88/233,584.13 = 233,584.13/x
  3. Step 3: Cross multiply
    109,201.88x = 233,584.13 × 233,584.13
  4. Step 4: Simplify right side
    109,201.88x = 54,561,543,452.02
  5. Step 5: Solve for x
    x = 54,561,543,452.02/109,201.88
  6. Step 6: Final answer
    x = 499,639.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.