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Finding the Third Proportional to 101,912.91 and 149,871.94

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Solution

The third proportional to 101,912.91 and 149,871.94 is: 220,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,912.91 : 149,871.94 = 149,871.94 : x
  2. Step 2: Convert to fraction form
    101,912.91/149,871.94 = 149,871.94/x
  3. Step 3: Cross multiply
    101,912.91x = 149,871.94 × 149,871.94
  4. Step 4: Simplify right side
    101,912.91x = 22,461,597,650.00
  5. Step 5: Solve for x
    x = 22,461,597,650.00/101,912.91
  6. Step 6: Final answer
    x = 220,399.93

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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.