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Finding the Third Proportional to 100,738 and 220,851

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Solution

The third proportional to 100,738 and 220,851 is: 484,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,738 : 220,851 = 220,851 : x
  2. Step 2: Convert to fraction form
    100,738/220,851 = 220,851/x
  3. Step 3: Cross multiply
    100,738x = 220,851 × 220,851
  4. Step 4: Simplify right side
    100,738x = 48,775,164,201
  5. Step 5: Solve for x
    x = 48,775,164,201/100,738
  6. Step 6: Final answer
    x = 484,178.41

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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.