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Finding the Third Proportional to 103,673.25 and 226,104.75

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Solution

The third proportional to 103,673.25 and 226,104.75 is: 493,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,673.25 : 226,104.75 = 226,104.75 : x
  2. Step 2: Convert to fraction form
    103,673.25/226,104.75 = 226,104.75/x
  3. Step 3: Cross multiply
    103,673.25x = 226,104.75 × 226,104.75
  4. Step 4: Simplify right side
    103,673.25x = 51,123,357,972.56
  5. Step 5: Solve for x
    x = 51,123,357,972.56/103,673.25
  6. Step 6: Final answer
    x = 493,120.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.