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Finding the Third Proportional to 95,289 and 204,933

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Solution

The third proportional to 95,289 and 204,933 is: 440,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,289 : 204,933 = 204,933 : x
  2. Step 2: Convert to fraction form
    95,289/204,933 = 204,933/x
  3. Step 3: Cross multiply
    95,289x = 204,933 × 204,933
  4. Step 4: Simplify right side
    95,289x = 41,997,534,489
  5. Step 5: Solve for x
    x = 41,997,534,489/95,289
  6. Step 6: Final answer
    x = 440,738.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.