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Finding the Third Proportional to 101,606 and 217,223

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Solution

The third proportional to 101,606 and 217,223 is: 464,400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,606 : 217,223 = 217,223 : x
  2. Step 2: Convert to fraction form
    101,606/217,223 = 217,223/x
  3. Step 3: Cross multiply
    101,606x = 217,223 × 217,223
  4. Step 4: Simplify right side
    101,606x = 47,185,831,729
  5. Step 5: Solve for x
    x = 47,185,831,729/101,606
  6. Step 6: Final answer
    x = 464,400.05

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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.