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Finding the Third Proportional to 96,864 and 199,920

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Solution

The third proportional to 96,864 and 199,920 is: 412,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,864 : 199,920 = 199,920 : x
  2. Step 2: Convert to fraction form
    96,864/199,920 = 199,920/x
  3. Step 3: Cross multiply
    96,864x = 199,920 × 199,920
  4. Step 4: Simplify right side
    96,864x = 39,968,006,400
  5. Step 5: Solve for x
    x = 39,968,006,400/96,864
  6. Step 6: Final answer
    x = 412,619.82

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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.