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Finding the Third Proportional to 41,524.95 and 90,661.78

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Solution

The third proportional to 41,524.95 and 90,661.78 is: 197,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,524.95 : 90,661.78 = 90,661.78 : x
  2. Step 2: Convert to fraction form
    41,524.95/90,661.78 = 90,661.78/x
  3. Step 3: Cross multiply
    41,524.95x = 90,661.78 × 90,661.78
  4. Step 4: Simplify right side
    41,524.95x = 8,219,558,579.42
  5. Step 5: Solve for x
    x = 8,219,558,579.42/41,524.95
  6. Step 6: Final answer
    x = 197,942.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.