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Finding the Third Proportional to 40,174.50 and 88,231.50

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Solution

The third proportional to 40,174.50 and 88,231.50 is: 193,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,174.50 : 88,231.50 = 88,231.50 : x
  2. Step 2: Convert to fraction form
    40,174.50/88,231.50 = 88,231.50/x
  3. Step 3: Cross multiply
    40,174.50x = 88,231.50 × 88,231.50
  4. Step 4: Simplify right side
    40,174.50x = 7,784,797,592.25
  5. Step 5: Solve for x
    x = 7,784,797,592.25/40,174.50
  6. Step 6: Final answer
    x = 193,774.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.