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Finding the Third Proportional to 43,194.20 and 64,458.12

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Solution

The third proportional to 43,194.20 and 64,458.12 is: 96,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,194.20 : 64,458.12 = 64,458.12 : x
  2. Step 2: Convert to fraction form
    43,194.20/64,458.12 = 64,458.12/x
  3. Step 3: Cross multiply
    43,194.20x = 64,458.12 × 64,458.12
  4. Step 4: Simplify right side
    43,194.20x = 4,154,849,626.73
  5. Step 5: Solve for x
    x = 4,154,849,626.73/43,194.20
  6. Step 6: Final answer
    x = 96,189.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.