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Finding the Third Proportional to 47,098 and 102,296

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Solution

The third proportional to 47,098 and 102,296 is: 222,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,098 : 102,296 = 102,296 : x
  2. Step 2: Convert to fraction form
    47,098/102,296 = 102,296/x
  3. Step 3: Cross multiply
    47,098x = 102,296 × 102,296
  4. Step 4: Simplify right side
    47,098x = 10,464,471,616
  5. Step 5: Solve for x
    x = 10,464,471,616/47,098
  6. Step 6: Final answer
    x = 222,185.05

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Why These Related Problems?

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