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Finding the Third Proportional to 101,106 and 217,716

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Solution

The third proportional to 101,106 and 217,716 is: 468,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,106 : 217,716 = 217,716 : x
  2. Step 2: Convert to fraction form
    101,106/217,716 = 217,716/x
  3. Step 3: Cross multiply
    101,106x = 217,716 × 217,716
  4. Step 4: Simplify right side
    101,106x = 47,400,256,656
  5. Step 5: Solve for x
    x = 47,400,256,656/101,106
  6. Step 6: Final answer
    x = 468,817.45

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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.