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Finding the Third Proportional to 100,283.50 and 220,247

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Solution

The third proportional to 100,283.50 and 220,247 is: 483,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,283.50 : 220,247 = 220,247 : x
  2. Step 2: Convert to fraction form
    100,283.50/220,247 = 220,247/x
  3. Step 3: Cross multiply
    100,283.50x = 220,247 × 220,247
  4. Step 4: Simplify right side
    100,283.50x = 48,508,741,009
  5. Step 5: Solve for x
    x = 48,508,741,009/100,283.50
  6. Step 6: Final answer
    x = 483,716.08

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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.