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Finding the Third Proportional to 92,708 and 199,393

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Solution

The third proportional to 92,708 and 199,393 is: 428,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,708 : 199,393 = 199,393 : x
  2. Step 2: Convert to fraction form
    92,708/199,393 = 199,393/x
  3. Step 3: Cross multiply
    92,708x = 199,393 × 199,393
  4. Step 4: Simplify right side
    92,708x = 39,757,568,449
  5. Step 5: Solve for x
    x = 39,757,568,449/92,708
  6. Step 6: Final answer
    x = 428,847.22

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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.