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Finding the Third Proportional to 49,412 and 108,194

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Solution

The third proportional to 49,412 and 108,194 is: 236,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,412 : 108,194 = 108,194 : x
  2. Step 2: Convert to fraction form
    49,412/108,194 = 108,194/x
  3. Step 3: Cross multiply
    49,412x = 108,194 × 108,194
  4. Step 4: Simplify right side
    49,412x = 11,705,941,636
  5. Step 5: Solve for x
    x = 11,705,941,636/49,412
  6. Step 6: Final answer
    x = 236,904.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.