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Finding the Third Proportional to 44,016 and 91,680

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Solution

The third proportional to 44,016 and 91,680 is: 190,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,016 : 91,680 = 91,680 : x
  2. Step 2: Convert to fraction form
    44,016/91,680 = 91,680/x
  3. Step 3: Cross multiply
    44,016x = 91,680 × 91,680
  4. Step 4: Simplify right side
    44,016x = 8,405,222,400
  5. Step 5: Solve for x
    x = 8,405,222,400/44,016
  6. Step 6: Final answer
    x = 190,958.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.