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Finding the Third Proportional to 47,198.83 and 102,614.94

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Solution

The third proportional to 47,198.83 and 102,614.94 is: 223,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,198.83 : 102,614.94 = 102,614.94 : x
  2. Step 2: Convert to fraction form
    47,198.83/102,614.94 = 102,614.94/x
  3. Step 3: Cross multiply
    47,198.83x = 102,614.94 × 102,614.94
  4. Step 4: Simplify right side
    47,198.83x = 10,529,825,297.92
  5. Step 5: Solve for x
    x = 10,529,825,297.92/47,198.83
  6. Step 6: Final answer
    x = 223,095.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.