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Finding the Third Proportional to 47,240.24 and 102,783.78

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Solution

The third proportional to 47,240.24 and 102,783.78 is: 223,633.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,240.24 : 102,783.78 = 102,783.78 : x
  2. Step 2: Convert to fraction form
    47,240.24/102,783.78 = 102,783.78/x
  3. Step 3: Cross multiply
    47,240.24x = 102,783.78 × 102,783.78
  4. Step 4: Simplify right side
    47,240.24x = 10,564,505,286.55
  5. Step 5: Solve for x
    x = 10,564,505,286.55/47,240.24
  6. Step 6: Final answer
    x = 223,633.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.