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Finding the Third Proportional to 104,064.75 and 213,369.19

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Solution

The third proportional to 104,064.75 and 213,369.19 is: 437,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,064.75 : 213,369.19 = 213,369.19 : x
  2. Step 2: Convert to fraction form
    104,064.75/213,369.19 = 213,369.19/x
  3. Step 3: Cross multiply
    104,064.75x = 213,369.19 × 213,369.19
  4. Step 4: Simplify right side
    104,064.75x = 45,526,410,174.41
  5. Step 5: Solve for x
    x = 45,526,410,174.41/104,064.75
  6. Step 6: Final answer
    x = 437,481.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.