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Finding the Third Proportional to 106,992 and 225,920.25

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Solution

The third proportional to 106,992 and 225,920.25 is: 477,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,992 : 225,920.25 = 225,920.25 : x
  2. Step 2: Convert to fraction form
    106,992/225,920.25 = 225,920.25/x
  3. Step 3: Cross multiply
    106,992x = 225,920.25 × 225,920.25
  4. Step 4: Simplify right side
    106,992x = 51,039,959,360.06
  5. Step 5: Solve for x
    x = 51,039,959,360.06/106,992
  6. Step 6: Final answer
    x = 477,044.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.