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Finding the Third Proportional to 101,922.75 and 220,216.50

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Solution

The third proportional to 101,922.75 and 220,216.50 is: 475,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,922.75 : 220,216.50 = 220,216.50 : x
  2. Step 2: Convert to fraction form
    101,922.75/220,216.50 = 220,216.50/x
  3. Step 3: Cross multiply
    101,922.75x = 220,216.50 × 220,216.50
  4. Step 4: Simplify right side
    101,922.75x = 48,495,306,872.25
  5. Step 5: Solve for x
    x = 48,495,306,872.25/101,922.75
  6. Step 6: Final answer
    x = 475,804.54

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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.