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Finding the Third Proportional to 91,884.75 and 187,657.50

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Solution

The third proportional to 91,884.75 and 187,657.50 is: 383,255.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,884.75 : 187,657.50 = 187,657.50 : x
  2. Step 2: Convert to fraction form
    91,884.75/187,657.50 = 187,657.50/x
  3. Step 3: Cross multiply
    91,884.75x = 187,657.50 × 187,657.50
  4. Step 4: Simplify right side
    91,884.75x = 35,215,337,306.25
  5. Step 5: Solve for x
    x = 35,215,337,306.25/91,884.75
  6. Step 6: Final answer
    x = 383,255.52

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.