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Finding the Third Proportional to 106,408.69 and 222,674.06

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Solution

The third proportional to 106,408.69 and 222,674.06 is: 465,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,408.69 : 222,674.06 = 222,674.06 : x
  2. Step 2: Convert to fraction form
    106,408.69/222,674.06 = 222,674.06/x
  3. Step 3: Cross multiply
    106,408.69x = 222,674.06 × 222,674.06
  4. Step 4: Simplify right side
    106,408.69x = 49,583,738,110.25
  5. Step 5: Solve for x
    x = 49,583,738,110.25/106,408.69
  6. Step 6: Final answer
    x = 465,974.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.