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Finding the Third Proportional to 43,918 and 97,662

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Solution

The third proportional to 43,918 and 97,662 is: 217,174.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,918 : 97,662 = 97,662 : x
  2. Step 2: Convert to fraction form
    43,918/97,662 = 97,662/x
  3. Step 3: Cross multiply
    43,918x = 97,662 × 97,662
  4. Step 4: Simplify right side
    43,918x = 9,537,866,244
  5. Step 5: Solve for x
    x = 9,537,866,244/43,918
  6. Step 6: Final answer
    x = 217,174.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.