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Finding the Third Proportional to 101,450 and 218,020

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Solution

The third proportional to 101,450 and 218,020 is: 468,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,450 : 218,020 = 218,020 : x
  2. Step 2: Convert to fraction form
    101,450/218,020 = 218,020/x
  3. Step 3: Cross multiply
    101,450x = 218,020 × 218,020
  4. Step 4: Simplify right side
    101,450x = 47,532,720,400
  5. Step 5: Solve for x
    x = 47,532,720,400/101,450
  6. Step 6: Final answer
    x = 468,533.47

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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.