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Finding the Third Proportional to 83,794.50 and 191,441.25

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Solution

The third proportional to 83,794.50 and 191,441.25 is: 437,376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,794.50 : 191,441.25 = 191,441.25 : x
  2. Step 2: Convert to fraction form
    83,794.50/191,441.25 = 191,441.25/x
  3. Step 3: Cross multiply
    83,794.50x = 191,441.25 × 191,441.25
  4. Step 4: Simplify right side
    83,794.50x = 36,649,752,201.56
  5. Step 5: Solve for x
    x = 36,649,752,201.56/83,794.50
  6. Step 6: Final answer
    x = 437,376.58

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.