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Finding the Third Proportional to 101,726.72 and 220,966.73

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Solution

The third proportional to 101,726.72 and 220,966.73 is: 479,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,726.72 : 220,966.73 = 220,966.73 : x
  2. Step 2: Convert to fraction form
    101,726.72/220,966.73 = 220,966.73/x
  3. Step 3: Cross multiply
    101,726.72x = 220,966.73 × 220,966.73
  4. Step 4: Simplify right side
    101,726.72x = 48,826,297,700.35
  5. Step 5: Solve for x
    x = 48,826,297,700.35/101,726.72
  6. Step 6: Final answer
    x = 479,975.16

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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.