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Finding the Third Proportional to 41,400.47 and 89,361.94

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Solution

The third proportional to 41,400.47 and 89,361.94 is: 192,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,400.47 : 89,361.94 = 89,361.94 : x
  2. Step 2: Convert to fraction form
    41,400.47/89,361.94 = 89,361.94/x
  3. Step 3: Cross multiply
    41,400.47x = 89,361.94 × 89,361.94
  4. Step 4: Simplify right side
    41,400.47x = 7,985,555,873.75
  5. Step 5: Solve for x
    x = 7,985,555,873.75/41,400.47
  6. Step 6: Final answer
    x = 192,885.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.