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Finding the Third Proportional to 101,852 and 219,306

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Solution

The third proportional to 101,852 and 219,306 is: 472,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,852 : 219,306 = 219,306 : x
  2. Step 2: Convert to fraction form
    101,852/219,306 = 219,306/x
  3. Step 3: Cross multiply
    101,852x = 219,306 × 219,306
  4. Step 4: Simplify right side
    101,852x = 48,095,121,636
  5. Step 5: Solve for x
    x = 48,095,121,636/101,852
  6. Step 6: Final answer
    x = 472,205.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.