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Finding the Third Proportional to 106,992 and 227,808

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Solution

The third proportional to 106,992 and 227,808 is: 485,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,992 : 227,808 = 227,808 : x
  2. Step 2: Convert to fraction form
    106,992/227,808 = 227,808/x
  3. Step 3: Cross multiply
    106,992x = 227,808 × 227,808
  4. Step 4: Simplify right side
    106,992x = 51,896,484,864
  5. Step 5: Solve for x
    x = 51,896,484,864/106,992
  6. Step 6: Final answer
    x = 485,050.14

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