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Finding the Third Proportional to 96,443 and 208,742

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Solution

The third proportional to 96,443 and 208,742 is: 451,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,443 : 208,742 = 208,742 : x
  2. Step 2: Convert to fraction form
    96,443/208,742 = 208,742/x
  3. Step 3: Cross multiply
    96,443x = 208,742 × 208,742
  4. Step 4: Simplify right side
    96,443x = 43,573,222,564
  5. Step 5: Solve for x
    x = 43,573,222,564/96,443
  6. Step 6: Final answer
    x = 451,802.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.