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Finding the Third Proportional to 103,641.75 and 219,738.66

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Solution

The third proportional to 103,641.75 and 219,738.66 is: 465,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,641.75 : 219,738.66 = 219,738.66 : x
  2. Step 2: Convert to fraction form
    103,641.75/219,738.66 = 219,738.66/x
  3. Step 3: Cross multiply
    103,641.75x = 219,738.66 × 219,738.66
  4. Step 4: Simplify right side
    103,641.75x = 48,285,077,050.56
  5. Step 5: Solve for x
    x = 48,285,077,050.56/103,641.75
  6. Step 6: Final answer
    x = 465,884.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.