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Finding the Third Proportional to 101,286 and 219,852

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Solution

The third proportional to 101,286 and 219,852 is: 477,212.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,286 : 219,852 = 219,852 : x
  2. Step 2: Convert to fraction form
    101,286/219,852 = 219,852/x
  3. Step 3: Cross multiply
    101,286x = 219,852 × 219,852
  4. Step 4: Simplify right side
    101,286x = 48,334,901,904
  5. Step 5: Solve for x
    x = 48,334,901,904/101,286
  6. Step 6: Final answer
    x = 477,212.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.