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Finding the Third Proportional to 104,292.56 and 220,118.13

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Solution

The third proportional to 104,292.56 and 220,118.13 is: 464,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,292.56 : 220,118.13 = 220,118.13 : x
  2. Step 2: Convert to fraction form
    104,292.56/220,118.13 = 220,118.13/x
  3. Step 3: Cross multiply
    104,292.56x = 220,118.13 × 220,118.13
  4. Step 4: Simplify right side
    104,292.56x = 48,451,992,392.86
  5. Step 5: Solve for x
    x = 48,451,992,392.86/104,292.56
  6. Step 6: Final answer
    x = 464,577.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.