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Finding the Third Proportional to 40,930.75 and 90,464.50

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Solution

The third proportional to 40,930.75 and 90,464.50 is: 199,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,930.75 : 90,464.50 = 90,464.50 : x
  2. Step 2: Convert to fraction form
    40,930.75/90,464.50 = 90,464.50/x
  3. Step 3: Cross multiply
    40,930.75x = 90,464.50 × 90,464.50
  4. Step 4: Simplify right side
    40,930.75x = 8,183,825,760.25
  5. Step 5: Solve for x
    x = 8,183,825,760.25/40,930.75
  6. Step 6: Final answer
    x = 199,943.22

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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.