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Finding the Third Proportional to 95,622 and 202,188

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Solution

The third proportional to 95,622 and 202,188 is: 427,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,622 : 202,188 = 202,188 : x
  2. Step 2: Convert to fraction form
    95,622/202,188 = 202,188/x
  3. Step 3: Cross multiply
    95,622x = 202,188 × 202,188
  4. Step 4: Simplify right side
    95,622x = 40,879,987,344
  5. Step 5: Solve for x
    x = 40,879,987,344/95,622
  6. Step 6: Final answer
    x = 427,516.55

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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.