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Finding the Third Proportional to 105,778.69 and 230,847.19

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Solution

The third proportional to 105,778.69 and 230,847.19 is: 503,791.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,778.69 : 230,847.19 = 230,847.19 : x
  2. Step 2: Convert to fraction form
    105,778.69/230,847.19 = 230,847.19/x
  3. Step 3: Cross multiply
    105,778.69x = 230,847.19 × 230,847.19
  4. Step 4: Simplify right side
    105,778.69x = 53,290,423,976.66
  5. Step 5: Solve for x
    x = 53,290,423,976.66/105,778.69
  6. Step 6: Final answer
    x = 503,791.69

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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.