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Finding the Third Proportional to 41,028.19 and 90,667.69

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Solution

The third proportional to 41,028.19 and 90,667.69 is: 200,365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,028.19 : 90,667.69 = 90,667.69 : x
  2. Step 2: Convert to fraction form
    41,028.19/90,667.69 = 90,667.69/x
  3. Step 3: Cross multiply
    41,028.19x = 90,667.69 × 90,667.69
  4. Step 4: Simplify right side
    41,028.19x = 8,220,629,556.60
  5. Step 5: Solve for x
    x = 8,220,629,556.60/41,028.19
  6. Step 6: Final answer
    x = 200,365.41

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.