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Finding the Third Proportional to 96,796 and 208,420

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Solution

The third proportional to 96,796 and 208,420 is: 448,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,796 : 208,420 = 208,420 : x
  2. Step 2: Convert to fraction form
    96,796/208,420 = 208,420/x
  3. Step 3: Cross multiply
    96,796x = 208,420 × 208,420
  4. Step 4: Simplify right side
    96,796x = 43,438,896,400
  5. Step 5: Solve for x
    x = 43,438,896,400/96,796
  6. Step 6: Final answer
    x = 448,767.47

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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.