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Finding the Third Proportional to 110,811 and 150,664.50

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Solution

The third proportional to 110,811 and 150,664.50 is: 204,851.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,811 : 150,664.50 = 150,664.50 : x
  2. Step 2: Convert to fraction form
    110,811/150,664.50 = 150,664.50/x
  3. Step 3: Cross multiply
    110,811x = 150,664.50 × 150,664.50
  4. Step 4: Simplify right side
    110,811x = 22,699,791,560.25
  5. Step 5: Solve for x
    x = 22,699,791,560.25/110,811
  6. Step 6: Final answer
    x = 204,851.43

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.