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Finding the Third Proportional to 47,846 and 102,236

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Solution

The third proportional to 47,846 and 102,236 is: 218,455.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,846 : 102,236 = 102,236 : x
  2. Step 2: Convert to fraction form
    47,846/102,236 = 102,236/x
  3. Step 3: Cross multiply
    47,846x = 102,236 × 102,236
  4. Step 4: Simplify right side
    47,846x = 10,452,199,696
  5. Step 5: Solve for x
    x = 10,452,199,696/47,846
  6. Step 6: Final answer
    x = 218,455.04

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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.