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Finding the Third Proportional to 97,929 and 204,372

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Solution

The third proportional to 97,929 and 204,372 is: 426,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,929 : 204,372 = 204,372 : x
  2. Step 2: Convert to fraction form
    97,929/204,372 = 204,372/x
  3. Step 3: Cross multiply
    97,929x = 204,372 × 204,372
  4. Step 4: Simplify right side
    97,929x = 41,767,914,384
  5. Step 5: Solve for x
    x = 41,767,914,384/97,929
  6. Step 6: Final answer
    x = 426,512.21

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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.