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Finding the Third Proportional to 96,568.88 and 199,820.25

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Solution

The third proportional to 96,568.88 and 199,820.25 is: 413,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,568.88 : 199,820.25 = 199,820.25 : x
  2. Step 2: Convert to fraction form
    96,568.88/199,820.25 = 199,820.25/x
  3. Step 3: Cross multiply
    96,568.88x = 199,820.25 × 199,820.25
  4. Step 4: Simplify right side
    96,568.88x = 39,928,132,310.06
  5. Step 5: Solve for x
    x = 39,928,132,310.06/96,568.88
  6. Step 6: Final answer
    x = 413,467.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.