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Finding the Third Proportional to 86,757.75 and 200,825.25

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Solution

The third proportional to 86,757.75 and 200,825.25 is: 464,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,757.75 : 200,825.25 = 200,825.25 : x
  2. Step 2: Convert to fraction form
    86,757.75/200,825.25 = 200,825.25/x
  3. Step 3: Cross multiply
    86,757.75x = 200,825.25 × 200,825.25
  4. Step 4: Simplify right side
    86,757.75x = 40,330,781,037.56
  5. Step 5: Solve for x
    x = 40,330,781,037.56/86,757.75
  6. Step 6: Final answer
    x = 464,866.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.