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Finding the Third Proportional to 101,270.25 and 217,864.69

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Solution

The third proportional to 101,270.25 and 217,864.69 is: 468,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,270.25 : 217,864.69 = 217,864.69 : x
  2. Step 2: Convert to fraction form
    101,270.25/217,864.69 = 217,864.69/x
  3. Step 3: Cross multiply
    101,270.25x = 217,864.69 × 217,864.69
  4. Step 4: Simplify right side
    101,270.25x = 47,465,022,059.47
  5. Step 5: Solve for x
    x = 47,465,022,059.47/101,270.25
  6. Step 6: Final answer
    x = 468,696.60

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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.