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Finding the Third Proportional to 47,418.25 and 101,601.63

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Solution

The third proportional to 47,418.25 and 101,601.63 is: 217,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,418.25 : 101,601.63 = 101,601.63 : x
  2. Step 2: Convert to fraction form
    47,418.25/101,601.63 = 101,601.63/x
  3. Step 3: Cross multiply
    47,418.25x = 101,601.63 × 101,601.63
  4. Step 4: Simplify right side
    47,418.25x = 10,322,890,202.64
  5. Step 5: Solve for x
    x = 10,322,890,202.64/47,418.25
  6. Step 6: Final answer
    x = 217,698.68

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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.