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Finding the Third Proportional to 96,230.25 and 211,323.38

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Solution

The third proportional to 96,230.25 and 211,323.38 is: 464,069.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,230.25 : 211,323.38 = 211,323.38 : x
  2. Step 2: Convert to fraction form
    96,230.25/211,323.38 = 211,323.38/x
  3. Step 3: Cross multiply
    96,230.25x = 211,323.38 × 211,323.38
  4. Step 4: Simplify right side
    96,230.25x = 44,657,568,821.39
  5. Step 5: Solve for x
    x = 44,657,568,821.39/96,230.25
  6. Step 6: Final answer
    x = 464,069.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.