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Finding the Third Proportional to 41,338.50 and 89,723.63

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Solution

The third proportional to 41,338.50 and 89,723.63 is: 194,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,338.50 : 89,723.63 = 89,723.63 : x
  2. Step 2: Convert to fraction form
    41,338.50/89,723.63 = 89,723.63/x
  3. Step 3: Cross multiply
    41,338.50x = 89,723.63 × 89,723.63
  4. Step 4: Simplify right side
    41,338.50x = 8,050,328,883.14
  5. Step 5: Solve for x
    x = 8,050,328,883.14/41,338.50
  6. Step 6: Final answer
    x = 194,741.68

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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.