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Finding the Third Proportional to 106,996 and 227,816

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Solution

The third proportional to 106,996 and 227,816 is: 485,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,996 : 227,816 = 227,816 : x
  2. Step 2: Convert to fraction form
    106,996/227,816 = 227,816/x
  3. Step 3: Cross multiply
    106,996x = 227,816 × 227,816
  4. Step 4: Simplify right side
    106,996x = 51,900,129,856
  5. Step 5: Solve for x
    x = 51,900,129,856/106,996
  6. Step 6: Final answer
    x = 485,066.08

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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.