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Finding the Third Proportional to 109,653.75 and 239,532.19

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Solution

The third proportional to 109,653.75 and 239,532.19 is: 523,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,653.75 : 239,532.19 = 239,532.19 : x
  2. Step 2: Convert to fraction form
    109,653.75/239,532.19 = 239,532.19/x
  3. Step 3: Cross multiply
    109,653.75x = 239,532.19 × 239,532.19
  4. Step 4: Simplify right side
    109,653.75x = 57,375,668,848.54
  5. Step 5: Solve for x
    x = 57,375,668,848.54/109,653.75
  6. Step 6: Final answer
    x = 523,244.02

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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.