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Finding the Third Proportional to 40,981.50 and 89,991

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Solution

The third proportional to 40,981.50 and 89,991 is: 197,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,981.50 : 89,991 = 89,991 : x
  2. Step 2: Convert to fraction form
    40,981.50/89,991 = 89,991/x
  3. Step 3: Cross multiply
    40,981.50x = 89,991 × 89,991
  4. Step 4: Simplify right side
    40,981.50x = 8,098,380,081
  5. Step 5: Solve for x
    x = 8,098,380,081/40,981.50
  6. Step 6: Final answer
    x = 197,610.63

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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.