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Finding the Third Proportional to 101,228 and 219,148

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Solution

The third proportional to 101,228 and 219,148 is: 474,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,228 : 219,148 = 219,148 : x
  2. Step 2: Convert to fraction form
    101,228/219,148 = 219,148/x
  3. Step 3: Cross multiply
    101,228x = 219,148 × 219,148
  4. Step 4: Simplify right side
    101,228x = 48,025,845,904
  5. Step 5: Solve for x
    x = 48,025,845,904/101,228
  6. Step 6: Final answer
    x = 474,432.43

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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.