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Finding the Third Proportional to 49,448 and 106,816

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Solution

The third proportional to 49,448 and 106,816 is: 230,740.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,448 : 106,816 = 106,816 : x
  2. Step 2: Convert to fraction form
    49,448/106,816 = 106,816/x
  3. Step 3: Cross multiply
    49,448x = 106,816 × 106,816
  4. Step 4: Simplify right side
    49,448x = 11,409,657,856
  5. Step 5: Solve for x
    x = 11,409,657,856/49,448
  6. Step 6: Final answer
    x = 230,740.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.