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Finding the Third Proportional to 109,793.25 and 239,665.50

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Solution

The third proportional to 109,793.25 and 239,665.50 is: 523,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,793.25 : 239,665.50 = 239,665.50 : x
  2. Step 2: Convert to fraction form
    109,793.25/239,665.50 = 239,665.50/x
  3. Step 3: Cross multiply
    109,793.25x = 239,665.50 × 239,665.50
  4. Step 4: Simplify right side
    109,793.25x = 57,439,551,890.25
  5. Step 5: Solve for x
    x = 57,439,551,890.25/109,793.25
  6. Step 6: Final answer
    x = 523,161.05

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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.