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Finding the Third Proportional to 41,045.06 and 89,874.56

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Solution

The third proportional to 41,045.06 and 89,874.56 is: 196,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,045.06 : 89,874.56 = 89,874.56 : x
  2. Step 2: Convert to fraction form
    41,045.06/89,874.56 = 89,874.56/x
  3. Step 3: Cross multiply
    41,045.06x = 89,874.56 × 89,874.56
  4. Step 4: Simplify right side
    41,045.06x = 8,077,436,984.57
  5. Step 5: Solve for x
    x = 8,077,436,984.57/41,045.06
  6. Step 6: Final answer
    x = 196,794.36

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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.