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Finding the Third Proportional to 100,960.59 and 220,257.56

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Solution

The third proportional to 100,960.59 and 220,257.56 is: 480,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,960.59 : 220,257.56 = 220,257.56 : x
  2. Step 2: Convert to fraction form
    100,960.59/220,257.56 = 220,257.56/x
  3. Step 3: Cross multiply
    100,960.59x = 220,257.56 × 220,257.56
  4. Step 4: Simplify right side
    100,960.59x = 48,513,393,838.44
  5. Step 5: Solve for x
    x = 48,513,393,838.44/100,960.59
  6. Step 6: Final answer
    x = 480,518.11

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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.