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Finding the Third Proportional to 149,701.50 and 220,163.63

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Solution

The third proportional to 149,701.50 and 220,163.63 is: 323,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,701.50 : 220,163.63 = 220,163.63 : x
  2. Step 2: Convert to fraction form
    149,701.50/220,163.63 = 220,163.63/x
  3. Step 3: Cross multiply
    149,701.50x = 220,163.63 × 220,163.63
  4. Step 4: Simplify right side
    149,701.50x = 48,472,021,773.14
  5. Step 5: Solve for x
    x = 48,472,021,773.14/149,701.50
  6. Step 6: Final answer
    x = 323,791.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.