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Finding the Third Proportional to 96,892 and 208,628

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Solution

The third proportional to 96,892 and 208,628 is: 449,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,892 : 208,628 = 208,628 : x
  2. Step 2: Convert to fraction form
    96,892/208,628 = 208,628/x
  3. Step 3: Cross multiply
    96,892x = 208,628 × 208,628
  4. Step 4: Simplify right side
    96,892x = 43,525,642,384
  5. Step 5: Solve for x
    x = 43,525,642,384/96,892
  6. Step 6: Final answer
    x = 449,218.12

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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.