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Finding the Third Proportional to 101,224 and 219,140

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Solution

The third proportional to 101,224 and 219,140 is: 474,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,224 : 219,140 = 219,140 : x
  2. Step 2: Convert to fraction form
    101,224/219,140 = 219,140/x
  3. Step 3: Cross multiply
    101,224x = 219,140 × 219,140
  4. Step 4: Simplify right side
    101,224x = 48,022,339,600
  5. Step 5: Solve for x
    x = 48,022,339,600/101,224
  6. Step 6: Final answer
    x = 474,416.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.