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Finding the Third Proportional to 95,500 and 202,382

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Solution

The third proportional to 95,500 and 202,382 is: 428,884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,500 : 202,382 = 202,382 : x
  2. Step 2: Convert to fraction form
    95,500/202,382 = 202,382/x
  3. Step 3: Cross multiply
    95,500x = 202,382 × 202,382
  4. Step 4: Simplify right side
    95,500x = 40,958,473,924
  5. Step 5: Solve for x
    x = 40,958,473,924/95,500
  6. Step 6: Final answer
    x = 428,884.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.