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Finding the Third Proportional to 95,153 and 204,922

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Solution

The third proportional to 95,153 and 204,922 is: 441,321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,153 : 204,922 = 204,922 : x
  2. Step 2: Convert to fraction form
    95,153/204,922 = 204,922/x
  3. Step 3: Cross multiply
    95,153x = 204,922 × 204,922
  4. Step 4: Simplify right side
    95,153x = 41,993,026,084
  5. Step 5: Solve for x
    x = 41,993,026,084/95,153
  6. Step 6: Final answer
    x = 441,321.09

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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.