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Finding the Third Proportional to 95,105 and 200,818

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Solution

The third proportional to 95,105 and 200,818 is: 424,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,105 : 200,818 = 200,818 : x
  2. Step 2: Convert to fraction form
    95,105/200,818 = 200,818/x
  3. Step 3: Cross multiply
    95,105x = 200,818 × 200,818
  4. Step 4: Simplify right side
    95,105x = 40,327,869,124
  5. Step 5: Solve for x
    x = 40,327,869,124/95,105
  6. Step 6: Final answer
    x = 424,035.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.