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Finding the Third Proportional to 95,015 and 204,610

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Solution

The third proportional to 95,015 and 204,610 is: 440,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,015 : 204,610 = 204,610 : x
  2. Step 2: Convert to fraction form
    95,015/204,610 = 204,610/x
  3. Step 3: Cross multiply
    95,015x = 204,610 × 204,610
  4. Step 4: Simplify right side
    95,015x = 41,865,252,100
  5. Step 5: Solve for x
    x = 41,865,252,100/95,015
  6. Step 6: Final answer
    x = 440,617.29

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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.