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Finding the Third Proportional to 105,491.25 and 226,223.25

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Solution

The third proportional to 105,491.25 and 226,223.25 is: 485,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,491.25 : 226,223.25 = 226,223.25 : x
  2. Step 2: Convert to fraction form
    105,491.25/226,223.25 = 226,223.25/x
  3. Step 3: Cross multiply
    105,491.25x = 226,223.25 × 226,223.25
  4. Step 4: Simplify right side
    105,491.25x = 51,176,958,840.56
  5. Step 5: Solve for x
    x = 51,176,958,840.56/105,491.25
  6. Step 6: Final answer
    x = 485,129.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.