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Finding the Third Proportional to 90,775 and 199,469

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Solution

The third proportional to 90,775 and 199,469 is: 438,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,775 : 199,469 = 199,469 : x
  2. Step 2: Convert to fraction form
    90,775/199,469 = 199,469/x
  3. Step 3: Cross multiply
    90,775x = 199,469 × 199,469
  4. Step 4: Simplify right side
    90,775x = 39,787,881,961
  5. Step 5: Solve for x
    x = 39,787,881,961/90,775
  6. Step 6: Final answer
    x = 438,313.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.