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Finding the Third Proportional to 101,928 and 217,806

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Solution

The third proportional to 101,928 and 217,806 is: 465,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,928 : 217,806 = 217,806 : x
  2. Step 2: Convert to fraction form
    101,928/217,806 = 217,806/x
  3. Step 3: Cross multiply
    101,928x = 217,806 × 217,806
  4. Step 4: Simplify right side
    101,928x = 47,439,453,636
  5. Step 5: Solve for x
    x = 47,439,453,636/101,928
  6. Step 6: Final answer
    x = 465,421.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.