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Finding the Third Proportional to 90,471.94 and 192,964.78

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Solution

The third proportional to 90,471.94 and 192,964.78 is: 411,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,471.94 : 192,964.78 = 192,964.78 : x
  2. Step 2: Convert to fraction form
    90,471.94/192,964.78 = 192,964.78/x
  3. Step 3: Cross multiply
    90,471.94x = 192,964.78 × 192,964.78
  4. Step 4: Simplify right side
    90,471.94x = 37,235,406,802.86
  5. Step 5: Solve for x
    x = 37,235,406,802.86/90,471.94
  6. Step 6: Final answer
    x = 411,568.58

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.