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Finding the Third Proportional to 116,099.50 and 239,425.50

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Solution

The third proportional to 116,099.50 and 239,425.50 is: 493,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,099.50 : 239,425.50 = 239,425.50 : x
  2. Step 2: Convert to fraction form
    116,099.50/239,425.50 = 239,425.50/x
  3. Step 3: Cross multiply
    116,099.50x = 239,425.50 × 239,425.50
  4. Step 4: Simplify right side
    116,099.50x = 57,324,570,050.25
  5. Step 5: Solve for x
    x = 57,324,570,050.25/116,099.50
  6. Step 6: Final answer
    x = 493,753.81

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.