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Finding the Third Proportional to 101,731.50 and 220,977

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Solution

The third proportional to 101,731.50 and 220,977 is: 479,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,731.50 : 220,977 = 220,977 : x
  2. Step 2: Convert to fraction form
    101,731.50/220,977 = 220,977/x
  3. Step 3: Cross multiply
    101,731.50x = 220,977 × 220,977
  4. Step 4: Simplify right side
    101,731.50x = 48,830,834,529
  5. Step 5: Solve for x
    x = 48,830,834,529/101,731.50
  6. Step 6: Final answer
    x = 479,997.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.