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Finding the Third Proportional to 100,766.25 and 219,952.13

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Solution

The third proportional to 100,766.25 and 219,952.13 is: 480,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,766.25 : 219,952.13 = 219,952.13 : x
  2. Step 2: Convert to fraction form
    100,766.25/219,952.13 = 219,952.13/x
  3. Step 3: Cross multiply
    100,766.25x = 219,952.13 × 219,952.13
  4. Step 4: Simplify right side
    100,766.25x = 48,378,937,292.02
  5. Step 5: Solve for x
    x = 48,378,937,292.02/100,766.25
  6. Step 6: Final answer
    x = 480,110.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.