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Finding the Third Proportional to 103,709.25 and 226,189.50

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Solution

The third proportional to 103,709.25 and 226,189.50 is: 493,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,709.25 : 226,189.50 = 226,189.50 : x
  2. Step 2: Convert to fraction form
    103,709.25/226,189.50 = 226,189.50/x
  3. Step 3: Cross multiply
    103,709.25x = 226,189.50 × 226,189.50
  4. Step 4: Simplify right side
    103,709.25x = 51,161,689,910.25
  5. Step 5: Solve for x
    x = 51,161,689,910.25/103,709.25
  6. Step 6: Final answer
    x = 493,318.48

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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.