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Finding the Third Proportional to 44,418 and 91,924

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Solution

The third proportional to 44,418 and 91,924 is: 190,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,418 : 91,924 = 91,924 : x
  2. Step 2: Convert to fraction form
    44,418/91,924 = 91,924/x
  3. Step 3: Cross multiply
    44,418x = 91,924 × 91,924
  4. Step 4: Simplify right side
    44,418x = 8,450,021,776
  5. Step 5: Solve for x
    x = 8,450,021,776/44,418
  6. Step 6: Final answer
    x = 190,238.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.