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Finding the Third Proportional to 95,279 and 203,212

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Solution

The third proportional to 95,279 and 203,212 is: 433,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,279 : 203,212 = 203,212 : x
  2. Step 2: Convert to fraction form
    95,279/203,212 = 203,212/x
  3. Step 3: Cross multiply
    95,279x = 203,212 × 203,212
  4. Step 4: Simplify right side
    95,279x = 41,295,116,944
  5. Step 5: Solve for x
    x = 41,295,116,944/95,279
  6. Step 6: Final answer
    x = 433,412.58

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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.