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Finding the Third Proportional to 49,822 and 108,392

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Solution

The third proportional to 49,822 and 108,392 is: 235,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,822 : 108,392 = 108,392 : x
  2. Step 2: Convert to fraction form
    49,822/108,392 = 108,392/x
  3. Step 3: Cross multiply
    49,822x = 108,392 × 108,392
  4. Step 4: Simplify right side
    49,822x = 11,748,825,664
  5. Step 5: Solve for x
    x = 11,748,825,664/49,822
  6. Step 6: Final answer
    x = 235,816.02

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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.