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Finding the Third Proportional to 41,569 and 90,901.94

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Solution

The third proportional to 41,569 and 90,901.94 is: 198,781.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,569 : 90,901.94 = 90,901.94 : x
  2. Step 2: Convert to fraction form
    41,569/90,901.94 = 90,901.94/x
  3. Step 3: Cross multiply
    41,569x = 90,901.94 × 90,901.94
  4. Step 4: Simplify right side
    41,569x = 8,263,162,241.25
  5. Step 5: Solve for x
    x = 8,263,162,241.25/41,569
  6. Step 6: Final answer
    x = 198,781.84

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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.