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Finding the Third Proportional to 44,483 and 96,256

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Solution

The third proportional to 44,483 and 96,256 is: 208,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,483 : 96,256 = 96,256 : x
  2. Step 2: Convert to fraction form
    44,483/96,256 = 96,256/x
  3. Step 3: Cross multiply
    44,483x = 96,256 × 96,256
  4. Step 4: Simplify right side
    44,483x = 9,265,217,536
  5. Step 5: Solve for x
    x = 9,265,217,536/44,483
  6. Step 6: Final answer
    x = 208,286.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.