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Finding the Third Proportional to 96,997.50 and 209,286

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Solution

The third proportional to 96,997.50 and 209,286 is: 451,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,997.50 : 209,286 = 209,286 : x
  2. Step 2: Convert to fraction form
    96,997.50/209,286 = 209,286/x
  3. Step 3: Cross multiply
    96,997.50x = 209,286 × 209,286
  4. Step 4: Simplify right side
    96,997.50x = 43,800,629,796
  5. Step 5: Solve for x
    x = 43,800,629,796/96,997.50
  6. Step 6: Final answer
    x = 451,564.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.