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Finding the Third Proportional to 43,806 and 97,820

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Solution

The third proportional to 43,806 and 97,820 is: 218,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,806 : 97,820 = 97,820 : x
  2. Step 2: Convert to fraction form
    43,806/97,820 = 97,820/x
  3. Step 3: Cross multiply
    43,806x = 97,820 × 97,820
  4. Step 4: Simplify right side
    43,806x = 9,568,752,400
  5. Step 5: Solve for x
    x = 9,568,752,400/43,806
  6. Step 6: Final answer
    x = 218,434.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.