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Finding the Third Proportional to 96,831 and 207,486

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Solution

The third proportional to 96,831 and 207,486 is: 444,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,831 : 207,486 = 207,486 : x
  2. Step 2: Convert to fraction form
    96,831/207,486 = 207,486/x
  3. Step 3: Cross multiply
    96,831x = 207,486 × 207,486
  4. Step 4: Simplify right side
    96,831x = 43,050,440,196
  5. Step 5: Solve for x
    x = 43,050,440,196/96,831
  6. Step 6: Final answer
    x = 444,593.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.