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Finding the Third Proportional to 92,393 and 199,558

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Solution

The third proportional to 92,393 and 199,558 is: 431,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,393 : 199,558 = 199,558 : x
  2. Step 2: Convert to fraction form
    92,393/199,558 = 199,558/x
  3. Step 3: Cross multiply
    92,393x = 199,558 × 199,558
  4. Step 4: Simplify right side
    92,393x = 39,823,395,364
  5. Step 5: Solve for x
    x = 39,823,395,364/92,393
  6. Step 6: Final answer
    x = 431,021.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.