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Finding the Third Proportional to 101,974.50 and 222,093.75

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Solution

The third proportional to 101,974.50 and 222,093.75 is: 483,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,974.50 : 222,093.75 = 222,093.75 : x
  2. Step 2: Convert to fraction form
    101,974.50/222,093.75 = 222,093.75/x
  3. Step 3: Cross multiply
    101,974.50x = 222,093.75 × 222,093.75
  4. Step 4: Simplify right side
    101,974.50x = 49,325,633,789.06
  5. Step 5: Solve for x
    x = 49,325,633,789.06/101,974.50
  6. Step 6: Final answer
    x = 483,705.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.