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Finding the Third Proportional to 40,414.50 and 87,949.50

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Solution

The third proportional to 40,414.50 and 87,949.50 is: 191,394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,414.50 : 87,949.50 = 87,949.50 : x
  2. Step 2: Convert to fraction form
    40,414.50/87,949.50 = 87,949.50/x
  3. Step 3: Cross multiply
    40,414.50x = 87,949.50 × 87,949.50
  4. Step 4: Simplify right side
    40,414.50x = 7,735,114,550.25
  5. Step 5: Solve for x
    x = 7,735,114,550.25/40,414.50
  6. Step 6: Final answer
    x = 191,394.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.