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Finding the Third Proportional to 97,611 and 203,694

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Solution

The third proportional to 97,611 and 203,694 is: 425,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,611 : 203,694 = 203,694 : x
  2. Step 2: Convert to fraction form
    97,611/203,694 = 203,694/x
  3. Step 3: Cross multiply
    97,611x = 203,694 × 203,694
  4. Step 4: Simplify right side
    97,611x = 41,491,245,636
  5. Step 5: Solve for x
    x = 41,491,245,636/97,611
  6. Step 6: Final answer
    x = 425,067.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.