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Finding the Third Proportional to 103,629.38 and 223,149.94

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Solution

The third proportional to 103,629.38 and 223,149.94 is: 480,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,629.38 : 223,149.94 = 223,149.94 : x
  2. Step 2: Convert to fraction form
    103,629.38/223,149.94 = 223,149.94/x
  3. Step 3: Cross multiply
    103,629.38x = 223,149.94 × 223,149.94
  4. Step 4: Simplify right side
    103,629.38x = 49,795,894,606.25
  5. Step 5: Solve for x
    x = 49,795,894,606.25/103,629.38
  6. Step 6: Final answer
    x = 480,519.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.