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Finding the Third Proportional to 44,928 and 96,418

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Solution

The third proportional to 44,928 and 96,418 is: 206,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,928 : 96,418 = 96,418 : x
  2. Step 2: Convert to fraction form
    44,928/96,418 = 96,418/x
  3. Step 3: Cross multiply
    44,928x = 96,418 × 96,418
  4. Step 4: Simplify right side
    44,928x = 9,296,430,724
  5. Step 5: Solve for x
    x = 9,296,430,724/44,928
  6. Step 6: Final answer
    x = 206,918.42

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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.