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Finding the Third Proportional to 91,634 and 141,884.50

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Solution

The third proportional to 91,634 and 141,884.50 is: 219,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,634 : 141,884.50 = 141,884.50 : x
  2. Step 2: Convert to fraction form
    91,634/141,884.50 = 141,884.50/x
  3. Step 3: Cross multiply
    91,634x = 141,884.50 × 141,884.50
  4. Step 4: Simplify right side
    91,634x = 20,131,211,340.25
  5. Step 5: Solve for x
    x = 20,131,211,340.25/91,634
  6. Step 6: Final answer
    x = 219,691.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.