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Finding the Third Proportional to 96,868 and 199,928

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Solution

The third proportional to 96,868 and 199,928 is: 412,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,868 : 199,928 = 199,928 : x
  2. Step 2: Convert to fraction form
    96,868/199,928 = 199,928/x
  3. Step 3: Cross multiply
    96,868x = 199,928 × 199,928
  4. Step 4: Simplify right side
    96,868x = 39,971,205,184
  5. Step 5: Solve for x
    x = 39,971,205,184/96,868
  6. Step 6: Final answer
    x = 412,635.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.