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Finding the Third Proportional to 41,418.50 and 89,446.25

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Solution

The third proportional to 41,418.50 and 89,446.25 is: 193,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,418.50 : 89,446.25 = 89,446.25 : x
  2. Step 2: Convert to fraction form
    41,418.50/89,446.25 = 89,446.25/x
  3. Step 3: Cross multiply
    41,418.50x = 89,446.25 × 89,446.25
  4. Step 4: Simplify right side
    41,418.50x = 8,000,631,639.06
  5. Step 5: Solve for x
    x = 8,000,631,639.06/41,418.50
  6. Step 6: Final answer
    x = 193,165.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.