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Finding the Third Proportional to 49,816 and 106,216

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Solution

The third proportional to 49,816 and 106,216 is: 226,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,816 : 106,216 = 106,216 : x
  2. Step 2: Convert to fraction form
    49,816/106,216 = 106,216/x
  3. Step 3: Cross multiply
    49,816x = 106,216 × 106,216
  4. Step 4: Simplify right side
    49,816x = 11,281,838,656
  5. Step 5: Solve for x
    x = 11,281,838,656/49,816
  6. Step 6: Final answer
    x = 226,470.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.