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Finding the Third Proportional to 101,217.94 and 221,503.78

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Solution

The third proportional to 101,217.94 and 221,503.78 is: 484,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,217.94 : 221,503.78 = 221,503.78 : x
  2. Step 2: Convert to fraction form
    101,217.94/221,503.78 = 221,503.78/x
  3. Step 3: Cross multiply
    101,217.94x = 221,503.78 × 221,503.78
  4. Step 4: Simplify right side
    101,217.94x = 49,063,925,108.05
  5. Step 5: Solve for x
    x = 49,063,925,108.05/101,217.94
  6. Step 6: Final answer
    x = 484,735.48

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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.