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Finding the Third Proportional to 96,922 and 207,860

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Solution

The third proportional to 96,922 and 207,860 is: 445,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,922 : 207,860 = 207,860 : x
  2. Step 2: Convert to fraction form
    96,922/207,860 = 207,860/x
  3. Step 3: Cross multiply
    96,922x = 207,860 × 207,860
  4. Step 4: Simplify right side
    96,922x = 43,205,779,600
  5. Step 5: Solve for x
    x = 43,205,779,600/96,922
  6. Step 6: Final answer
    x = 445,778.87

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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.