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Finding the Third Proportional to 106,979.06 and 225,896.06

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Solution

The third proportional to 106,979.06 and 225,896.06 is: 477,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,979.06 : 225,896.06 = 225,896.06 : x
  2. Step 2: Convert to fraction form
    106,979.06/225,896.06 = 225,896.06/x
  3. Step 3: Cross multiply
    106,979.06x = 225,896.06 × 225,896.06
  4. Step 4: Simplify right side
    106,979.06x = 51,029,031,053.00
  5. Step 5: Solve for x
    x = 51,029,031,053.00/106,979.06
  6. Step 6: Final answer
    x = 477,000.17

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.