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Finding the Third Proportional to 96,414 and 208,868

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Solution

The third proportional to 96,414 and 208,868 is: 452,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,414 : 208,868 = 208,868 : x
  2. Step 2: Convert to fraction form
    96,414/208,868 = 208,868/x
  3. Step 3: Cross multiply
    96,414x = 208,868 × 208,868
  4. Step 4: Simplify right side
    96,414x = 43,625,841,424
  5. Step 5: Solve for x
    x = 43,625,841,424/96,414
  6. Step 6: Final answer
    x = 452,484.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.