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Finding the Third Proportional to 220,680.98 and 467,847.84

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Solution

The third proportional to 220,680.98 and 467,847.84 is: 991,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,680.98 : 467,847.84 = 467,847.84 : x
  2. Step 2: Convert to fraction form
    220,680.98/467,847.84 = 467,847.84/x
  3. Step 3: Cross multiply
    220,680.98x = 467,847.84 × 467,847.84
  4. Step 4: Simplify right side
    220,680.98x = 218,881,604,901.52
  5. Step 5: Solve for x
    x = 218,881,604,901.52/220,680.98
  6. Step 6: Final answer
    x = 991,846.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.