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Finding the Third Proportional to 106,999.50 and 225,936

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Solution

The third proportional to 106,999.50 and 225,936 is: 477,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,999.50 : 225,936 = 225,936 : x
  2. Step 2: Convert to fraction form
    106,999.50/225,936 = 225,936/x
  3. Step 3: Cross multiply
    106,999.50x = 225,936 × 225,936
  4. Step 4: Simplify right side
    106,999.50x = 51,047,076,096
  5. Step 5: Solve for x
    x = 51,047,076,096/106,999.50
  6. Step 6: Final answer
    x = 477,077.71

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Why These Related Problems?

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