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Finding the Third Proportional to 103,120.50 and 226,167

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Solution

The third proportional to 103,120.50 and 226,167 is: 496,036.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,120.50 : 226,167 = 226,167 : x
  2. Step 2: Convert to fraction form
    103,120.50/226,167 = 226,167/x
  3. Step 3: Cross multiply
    103,120.50x = 226,167 × 226,167
  4. Step 4: Simplify right side
    103,120.50x = 51,151,511,889
  5. Step 5: Solve for x
    x = 51,151,511,889/103,120.50
  6. Step 6: Final answer
    x = 496,036.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.