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Finding the Third Proportional to 96,186 and 209,868

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Solution

The third proportional to 96,186 and 209,868 is: 457,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,186 : 209,868 = 209,868 : x
  2. Step 2: Convert to fraction form
    96,186/209,868 = 209,868/x
  3. Step 3: Cross multiply
    96,186x = 209,868 × 209,868
  4. Step 4: Simplify right side
    96,186x = 44,044,577,424
  5. Step 5: Solve for x
    x = 44,044,577,424/96,186
  6. Step 6: Final answer
    x = 457,910.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.