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Finding the Third Proportional to 90,399.16 and 194,402.95

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Solution

The third proportional to 90,399.16 and 194,402.95 is: 418,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,399.16 : 194,402.95 = 194,402.95 : x
  2. Step 2: Convert to fraction form
    90,399.16/194,402.95 = 194,402.95/x
  3. Step 3: Cross multiply
    90,399.16x = 194,402.95 × 194,402.95
  4. Step 4: Simplify right side
    90,399.16x = 37,792,508,183.72
  5. Step 5: Solve for x
    x = 37,792,508,183.72/90,399.16
  6. Step 6: Final answer
    x = 418,062.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.