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Finding the Third Proportional to 45,933 and 100,899

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Solution

The third proportional to 45,933 and 100,899 is: 221,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,933 : 100,899 = 100,899 : x
  2. Step 2: Convert to fraction form
    45,933/100,899 = 100,899/x
  3. Step 3: Cross multiply
    45,933x = 100,899 × 100,899
  4. Step 4: Simplify right side
    45,933x = 10,180,608,201
  5. Step 5: Solve for x
    x = 10,180,608,201/45,933
  6. Step 6: Final answer
    x = 221,640.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.