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Finding the Third Proportional to 95,277 and 203,208

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Solution

The third proportional to 95,277 and 203,208 is: 433,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,277 : 203,208 = 203,208 : x
  2. Step 2: Convert to fraction form
    95,277/203,208 = 203,208/x
  3. Step 3: Cross multiply
    95,277x = 203,208 × 203,208
  4. Step 4: Simplify right side
    95,277x = 41,293,491,264
  5. Step 5: Solve for x
    x = 41,293,491,264/95,277
  6. Step 6: Final answer
    x = 433,404.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.