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Finding the Third Proportional to 100,523 and 221,036

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Solution

The third proportional to 100,523 and 221,036 is: 486,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,523 : 221,036 = 221,036 : x
  2. Step 2: Convert to fraction form
    100,523/221,036 = 221,036/x
  3. Step 3: Cross multiply
    100,523x = 221,036 × 221,036
  4. Step 4: Simplify right side
    100,523x = 48,856,913,296
  5. Step 5: Solve for x
    x = 48,856,913,296/100,523
  6. Step 6: Final answer
    x = 486,027.21

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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.