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Finding the Third Proportional to 89,423.88 and 194,378.75

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Solution

The third proportional to 89,423.88 and 194,378.75 is: 422,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,423.88 : 194,378.75 = 194,378.75 : x
  2. Step 2: Convert to fraction form
    89,423.88/194,378.75 = 194,378.75/x
  3. Step 3: Cross multiply
    89,423.88x = 194,378.75 × 194,378.75
  4. Step 4: Simplify right side
    89,423.88x = 37,783,098,451.56
  5. Step 5: Solve for x
    x = 37,783,098,451.56/89,423.88
  6. Step 6: Final answer
    x = 422,516.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.