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Finding the Third Proportional to 100,647.56 and 220,226.34

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Solution

The third proportional to 100,647.56 and 220,226.34 is: 481,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,647.56 : 220,226.34 = 220,226.34 : x
  2. Step 2: Convert to fraction form
    100,647.56/220,226.34 = 220,226.34/x
  3. Step 3: Cross multiply
    100,647.56x = 220,226.34 × 220,226.34
  4. Step 4: Simplify right side
    100,647.56x = 48,499,642,481.49
  5. Step 5: Solve for x
    x = 48,499,642,481.49/100,647.56
  6. Step 6: Final answer
    x = 481,875.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.