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Finding the Third Proportional to 43,198.31 and 89,393.63

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Solution

The third proportional to 43,198.31 and 89,393.63 is: 184,989.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,198.31 : 89,393.63 = 89,393.63 : x
  2. Step 2: Convert to fraction form
    43,198.31/89,393.63 = 89,393.63/x
  3. Step 3: Cross multiply
    43,198.31x = 89,393.63 × 89,393.63
  4. Step 4: Simplify right side
    43,198.31x = 7,991,220,190.64
  5. Step 5: Solve for x
    x = 7,991,220,190.64/43,198.31
  6. Step 6: Final answer
    x = 184,989.17

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.