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Finding the Third Proportional to 41,019 and 89,630.25

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Solution

The third proportional to 41,019 and 89,630.25 is: 195,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,019 : 89,630.25 = 89,630.25 : x
  2. Step 2: Convert to fraction form
    41,019/89,630.25 = 89,630.25/x
  3. Step 3: Cross multiply
    41,019x = 89,630.25 × 89,630.25
  4. Step 4: Simplify right side
    41,019x = 8,033,581,715.06
  5. Step 5: Solve for x
    x = 8,033,581,715.06/41,019
  6. Step 6: Final answer
    x = 195,850.26

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Why These Related Problems?

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