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Finding the Third Proportional to 41,227 and 90,344.50

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Solution

The third proportional to 41,227 and 90,344.50 is: 197,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,227 : 90,344.50 = 90,344.50 : x
  2. Step 2: Convert to fraction form
    41,227/90,344.50 = 90,344.50/x
  3. Step 3: Cross multiply
    41,227x = 90,344.50 × 90,344.50
  4. Step 4: Simplify right side
    41,227x = 8,162,128,680.25
  5. Step 5: Solve for x
    x = 8,162,128,680.25/41,227
  6. Step 6: Final answer
    x = 197,980.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.