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Finding the Third Proportional to 105,720.19 and 220,186.69

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Solution

The third proportional to 105,720.19 and 220,186.69 is: 458,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,720.19 : 220,186.69 = 220,186.69 : x
  2. Step 2: Convert to fraction form
    105,720.19/220,186.69 = 220,186.69/x
  3. Step 3: Cross multiply
    105,720.19x = 220,186.69 × 220,186.69
  4. Step 4: Simplify right side
    105,720.19x = 48,482,177,352.22
  5. Step 5: Solve for x
    x = 48,482,177,352.22/105,720.19
  6. Step 6: Final answer
    x = 458,589.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.