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Finding the Third Proportional to 101,306.81 and 220,451.63

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Solution

The third proportional to 101,306.81 and 220,451.63 is: 479,720.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,306.81 : 220,451.63 = 220,451.63 : x
  2. Step 2: Convert to fraction form
    101,306.81/220,451.63 = 220,451.63/x
  3. Step 3: Cross multiply
    101,306.81x = 220,451.63 × 220,451.63
  4. Step 4: Simplify right side
    101,306.81x = 48,598,918,965.14
  5. Step 5: Solve for x
    x = 48,598,918,965.14/101,306.81
  6. Step 6: Final answer
    x = 479,720.15

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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.