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Finding the Third Proportional to 101,548.69 and 220,046.63

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Solution

The third proportional to 101,548.69 and 220,046.63 is: 476,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,548.69 : 220,046.63 = 220,046.63 : x
  2. Step 2: Convert to fraction form
    101,548.69/220,046.63 = 220,046.63/x
  3. Step 3: Cross multiply
    101,548.69x = 220,046.63 × 220,046.63
  4. Step 4: Simplify right side
    101,548.69x = 48,420,517,173.89
  5. Step 5: Solve for x
    x = 48,420,517,173.89/101,548.69
  6. Step 6: Final answer
    x = 476,820.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.