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Finding the Third Proportional to 94,687 and 205,469

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Solution

The third proportional to 94,687 and 205,469 is: 445,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,687 : 205,469 = 205,469 : x
  2. Step 2: Convert to fraction form
    94,687/205,469 = 205,469/x
  3. Step 3: Cross multiply
    94,687x = 205,469 × 205,469
  4. Step 4: Simplify right side
    94,687x = 42,217,509,961
  5. Step 5: Solve for x
    x = 42,217,509,961/94,687
  6. Step 6: Final answer
    x = 445,863.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.