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Finding the Third Proportional to 101,999.25 and 149,887.13

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Solution

The third proportional to 101,999.25 and 149,887.13 is: 220,257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,999.25 : 149,887.13 = 149,887.13 : x
  2. Step 2: Convert to fraction form
    101,999.25/149,887.13 = 149,887.13/x
  3. Step 3: Cross multiply
    101,999.25x = 149,887.13 × 149,887.13
  4. Step 4: Simplify right side
    101,999.25x = 22,466,150,240.77
  5. Step 5: Solve for x
    x = 22,466,150,240.77/101,999.25
  6. Step 6: Final answer
    x = 220,257.99

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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.