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Finding the Third Proportional to 101,285.44 and 217,287.56

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Solution

The third proportional to 101,285.44 and 217,287.56 is: 466,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,285.44 : 217,287.56 = 217,287.56 : x
  2. Step 2: Convert to fraction form
    101,285.44/217,287.56 = 217,287.56/x
  3. Step 3: Cross multiply
    101,285.44x = 217,287.56 × 217,287.56
  4. Step 4: Simplify right side
    101,285.44x = 47,213,884,817.19
  5. Step 5: Solve for x
    x = 47,213,884,817.19/101,285.44
  6. Step 6: Final answer
    x = 466,146.82

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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.