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Finding the Third Proportional to 106,886.25 and 226,889.44

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Solution

The third proportional to 106,886.25 and 226,889.44 is: 481,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,886.25 : 226,889.44 = 226,889.44 : x
  2. Step 2: Convert to fraction form
    106,886.25/226,889.44 = 226,889.44/x
  3. Step 3: Cross multiply
    106,886.25x = 226,889.44 × 226,889.44
  4. Step 4: Simplify right side
    106,886.25x = 51,478,816,849.07
  5. Step 5: Solve for x
    x = 51,478,816,849.07/106,886.25
  6. Step 6: Final answer
    x = 481,622.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.