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Finding the Third Proportional to 49,384.69 and 109,446.19

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Solution

The third proportional to 49,384.69 and 109,446.19 is: 242,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,384.69 : 109,446.19 = 109,446.19 : x
  2. Step 2: Convert to fraction form
    49,384.69/109,446.19 = 109,446.19/x
  3. Step 3: Cross multiply
    49,384.69x = 109,446.19 × 109,446.19
  4. Step 4: Simplify right side
    49,384.69x = 11,978,467,958.29
  5. Step 5: Solve for x
    x = 11,978,467,958.29/49,384.69
  6. Step 6: Final answer
    x = 242,554.29

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.