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Finding the Third Proportional to 92,680 and 199,760

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Solution

The third proportional to 92,680 and 199,760 is: 430,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,680 : 199,760 = 199,760 : x
  2. Step 2: Convert to fraction form
    92,680/199,760 = 199,760/x
  3. Step 3: Cross multiply
    92,680x = 199,760 × 199,760
  4. Step 4: Simplify right side
    92,680x = 39,904,057,600
  5. Step 5: Solve for x
    x = 39,904,057,600/92,680
  6. Step 6: Final answer
    x = 430,557.38

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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.