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Finding the Third Proportional to 101,765.25 and 221,630.63

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Solution

The third proportional to 101,765.25 and 221,630.63 is: 482,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,765.25 : 221,630.63 = 221,630.63 : x
  2. Step 2: Convert to fraction form
    101,765.25/221,630.63 = 221,630.63/x
  3. Step 3: Cross multiply
    101,765.25x = 221,630.63 × 221,630.63
  4. Step 4: Simplify right side
    101,765.25x = 49,120,133,937.89
  5. Step 5: Solve for x
    x = 49,120,133,937.89/101,765.25
  6. Step 6: Final answer
    x = 482,680.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.