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Finding the Third Proportional to 90,645.75 and 198,713.25

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Solution

The third proportional to 90,645.75 and 198,713.25 is: 435,618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,645.75 : 198,713.25 = 198,713.25 : x
  2. Step 2: Convert to fraction form
    90,645.75/198,713.25 = 198,713.25/x
  3. Step 3: Cross multiply
    90,645.75x = 198,713.25 × 198,713.25
  4. Step 4: Simplify right side
    90,645.75x = 39,486,955,725.56
  5. Step 5: Solve for x
    x = 39,486,955,725.56/90,645.75
  6. Step 6: Final answer
    x = 435,618.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.