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Finding the Third Proportional to 43,930 and 96,620

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Solution

The third proportional to 43,930 and 96,620 is: 212,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,930 : 96,620 = 96,620 : x
  2. Step 2: Convert to fraction form
    43,930/96,620 = 96,620/x
  3. Step 3: Cross multiply
    43,930x = 96,620 × 96,620
  4. Step 4: Simplify right side
    43,930x = 9,335,424,400
  5. Step 5: Solve for x
    x = 9,335,424,400/43,930
  6. Step 6: Final answer
    x = 212,506.82

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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.