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Finding the Third Proportional to 96,795 and 208,431

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Solution

The third proportional to 96,795 and 208,431 is: 448,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,795 : 208,431 = 208,431 : x
  2. Step 2: Convert to fraction form
    96,795/208,431 = 208,431/x
  3. Step 3: Cross multiply
    96,795x = 208,431 × 208,431
  4. Step 4: Simplify right side
    96,795x = 43,443,481,761
  5. Step 5: Solve for x
    x = 43,443,481,761/96,795
  6. Step 6: Final answer
    x = 448,819.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.