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Finding the Third Proportional to 41,615 and 91,015.50

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Solution

The third proportional to 41,615 and 91,015.50 is: 199,058.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,615 : 91,015.50 = 91,015.50 : x
  2. Step 2: Convert to fraction form
    41,615/91,015.50 = 91,015.50/x
  3. Step 3: Cross multiply
    41,615x = 91,015.50 × 91,015.50
  4. Step 4: Simplify right side
    41,615x = 8,283,821,240.25
  5. Step 5: Solve for x
    x = 8,283,821,240.25/41,615
  6. Step 6: Final answer
    x = 199,058.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.