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Finding the Third Proportional to 96,404.75 and 207,608.75

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Solution

The third proportional to 96,404.75 and 207,608.75 is: 447,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,404.75 : 207,608.75 = 207,608.75 : x
  2. Step 2: Convert to fraction form
    96,404.75/207,608.75 = 207,608.75/x
  3. Step 3: Cross multiply
    96,404.75x = 207,608.75 × 207,608.75
  4. Step 4: Simplify right side
    96,404.75x = 43,101,393,076.56
  5. Step 5: Solve for x
    x = 43,101,393,076.56/96,404.75
  6. Step 6: Final answer
    x = 447,087.86

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