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Finding the Third Proportional to 43,969 and 96,899

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Solution

The third proportional to 43,969 and 96,899 is: 213,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,969 : 96,899 = 96,899 : x
  2. Step 2: Convert to fraction form
    43,969/96,899 = 96,899/x
  3. Step 3: Cross multiply
    43,969x = 96,899 × 96,899
  4. Step 4: Simplify right side
    43,969x = 9,389,416,201
  5. Step 5: Solve for x
    x = 9,389,416,201/43,969
  6. Step 6: Final answer
    x = 213,546.28

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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.