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Finding the Third Proportional to 100,284.75 and 220,253.63

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Solution

The third proportional to 100,284.75 and 220,253.63 is: 483,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,284.75 : 220,253.63 = 220,253.63 : x
  2. Step 2: Convert to fraction form
    100,284.75/220,253.63 = 220,253.63/x
  3. Step 3: Cross multiply
    100,284.75x = 220,253.63 × 220,253.63
  4. Step 4: Simplify right side
    100,284.75x = 48,511,659,325.64
  5. Step 5: Solve for x
    x = 48,511,659,325.64/100,284.75
  6. Step 6: Final answer
    x = 483,739.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.