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Finding the Third Proportional to 42,441.94 and 89,943.13

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Solution

The third proportional to 42,441.94 and 89,943.13 is: 190,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,441.94 : 89,943.13 = 89,943.13 : x
  2. Step 2: Convert to fraction form
    42,441.94/89,943.13 = 89,943.13/x
  3. Step 3: Cross multiply
    42,441.94x = 89,943.13 × 89,943.13
  4. Step 4: Simplify right side
    42,441.94x = 8,089,765,734.77
  5. Step 5: Solve for x
    x = 8,089,765,734.77/42,441.94
  6. Step 6: Final answer
    x = 190,607.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.