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Finding the Third Proportional to 96,993 and 209,277

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Solution

The third proportional to 96,993 and 209,277 is: 451,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,993 : 209,277 = 209,277 : x
  2. Step 2: Convert to fraction form
    96,993/209,277 = 209,277/x
  3. Step 3: Cross multiply
    96,993x = 209,277 × 209,277
  4. Step 4: Simplify right side
    96,993x = 43,796,862,729
  5. Step 5: Solve for x
    x = 43,796,862,729/96,993
  6. Step 6: Final answer
    x = 451,546.63

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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.