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Finding the Third Proportional to 95,098 and 201,806

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Solution

The third proportional to 95,098 and 201,806 is: 428,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,098 : 201,806 = 201,806 : x
  2. Step 2: Convert to fraction form
    95,098/201,806 = 201,806/x
  3. Step 3: Cross multiply
    95,098x = 201,806 × 201,806
  4. Step 4: Simplify right side
    95,098x = 40,725,661,636
  5. Step 5: Solve for x
    x = 40,725,661,636/95,098
  6. Step 6: Final answer
    x = 428,249.40

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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.