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Finding the Third Proportional to 41,571.50 and 90,919

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Solution

The third proportional to 41,571.50 and 90,919 is: 198,844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,571.50 : 90,919 = 90,919 : x
  2. Step 2: Convert to fraction form
    41,571.50/90,919 = 90,919/x
  3. Step 3: Cross multiply
    41,571.50x = 90,919 × 90,919
  4. Step 4: Simplify right side
    41,571.50x = 8,266,264,561
  5. Step 5: Solve for x
    x = 8,266,264,561/41,571.50
  6. Step 6: Final answer
    x = 198,844.51

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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.