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Finding the Third Proportional to 44,600 and 96,016

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Solution

The third proportional to 44,600 and 96,016 is: 206,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,600 : 96,016 = 96,016 : x
  2. Step 2: Convert to fraction form
    44,600/96,016 = 96,016/x
  3. Step 3: Cross multiply
    44,600x = 96,016 × 96,016
  4. Step 4: Simplify right side
    44,600x = 9,219,072,256
  5. Step 5: Solve for x
    x = 9,219,072,256/44,600
  6. Step 6: Final answer
    x = 206,705.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.