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Finding the Third Proportional to 95,678 and 208,843

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Solution

The third proportional to 95,678 and 208,843 is: 455,856.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,678 : 208,843 = 208,843 : x
  2. Step 2: Convert to fraction form
    95,678/208,843 = 208,843/x
  3. Step 3: Cross multiply
    95,678x = 208,843 × 208,843
  4. Step 4: Simplify right side
    95,678x = 43,615,398,649
  5. Step 5: Solve for x
    x = 43,615,398,649/95,678
  6. Step 6: Final answer
    x = 455,856.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.