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Finding the Third Proportional to 101,265.75 and 221,600.25

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Solution

The third proportional to 101,265.75 and 221,600.25 is: 484,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,265.75 : 221,600.25 = 221,600.25 : x
  2. Step 2: Convert to fraction form
    101,265.75/221,600.25 = 221,600.25/x
  3. Step 3: Cross multiply
    101,265.75x = 221,600.25 × 221,600.25
  4. Step 4: Simplify right side
    101,265.75x = 49,106,670,800.06
  5. Step 5: Solve for x
    x = 49,106,670,800.06/101,265.75
  6. Step 6: Final answer
    x = 484,928.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.