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Finding the Third Proportional to 95,164 and 203,449

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Solution

The third proportional to 95,164 and 203,449 is: 434,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,164 : 203,449 = 203,449 : x
  2. Step 2: Convert to fraction form
    95,164/203,449 = 203,449/x
  3. Step 3: Cross multiply
    95,164x = 203,449 × 203,449
  4. Step 4: Simplify right side
    95,164x = 41,391,495,601
  5. Step 5: Solve for x
    x = 41,391,495,601/95,164
  6. Step 6: Final answer
    x = 434,949.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.