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Finding the Third Proportional to 96,270.75 and 198,677.25

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Solution

The third proportional to 96,270.75 and 198,677.25 is: 410,017.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,270.75 : 198,677.25 = 198,677.25 : x
  2. Step 2: Convert to fraction form
    96,270.75/198,677.25 = 198,677.25/x
  3. Step 3: Cross multiply
    96,270.75x = 198,677.25 × 198,677.25
  4. Step 4: Simplify right side
    96,270.75x = 39,472,649,667.56
  5. Step 5: Solve for x
    x = 39,472,649,667.56/96,270.75
  6. Step 6: Final answer
    x = 410,017.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.