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Finding the Third Proportional to 43,591.75 and 92,414.50

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Solution

The third proportional to 43,591.75 and 92,414.50 is: 195,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,591.75 : 92,414.50 = 92,414.50 : x
  2. Step 2: Convert to fraction form
    43,591.75/92,414.50 = 92,414.50/x
  3. Step 3: Cross multiply
    43,591.75x = 92,414.50 × 92,414.50
  4. Step 4: Simplify right side
    43,591.75x = 8,540,439,810.25
  5. Step 5: Solve for x
    x = 8,540,439,810.25/43,591.75
  6. Step 6: Final answer
    x = 195,918.72

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.