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Finding the Third Proportional to 101,966 and 220,731.50

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Solution

The third proportional to 101,966 and 220,731.50 is: 477,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,966 : 220,731.50 = 220,731.50 : x
  2. Step 2: Convert to fraction form
    101,966/220,731.50 = 220,731.50/x
  3. Step 3: Cross multiply
    101,966x = 220,731.50 × 220,731.50
  4. Step 4: Simplify right side
    101,966x = 48,722,395,092.25
  5. Step 5: Solve for x
    x = 48,722,395,092.25/101,966
  6. Step 6: Final answer
    x = 477,829.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.