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Finding the Third Proportional to 49,486 and 103,831

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Solution

The third proportional to 49,486 and 103,831 is: 217,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,486 : 103,831 = 103,831 : x
  2. Step 2: Convert to fraction form
    49,486/103,831 = 103,831/x
  3. Step 3: Cross multiply
    49,486x = 103,831 × 103,831
  4. Step 4: Simplify right side
    49,486x = 10,780,876,561
  5. Step 5: Solve for x
    x = 10,780,876,561/49,486
  6. Step 6: Final answer
    x = 217,857.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.