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Finding the Third Proportional to 43,799 and 95,996

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Solution

The third proportional to 43,799 and 95,996 is: 210,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,799 : 95,996 = 95,996 : x
  2. Step 2: Convert to fraction form
    43,799/95,996 = 95,996/x
  3. Step 3: Cross multiply
    43,799x = 95,996 × 95,996
  4. Step 4: Simplify right side
    43,799x = 9,215,232,016
  5. Step 5: Solve for x
    x = 9,215,232,016/43,799
  6. Step 6: Final answer
    x = 210,398.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.