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Finding the Third Proportional to 103,910.34 and 223,360.66

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Solution

The third proportional to 103,910.34 and 223,360.66 is: 480,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,910.34 : 223,360.66 = 223,360.66 : x
  2. Step 2: Convert to fraction form
    103,910.34/223,360.66 = 223,360.66/x
  3. Step 3: Cross multiply
    103,910.34x = 223,360.66 × 223,360.66
  4. Step 4: Simplify right side
    103,910.34x = 49,889,986,250.44
  5. Step 5: Solve for x
    x = 49,889,986,250.44/103,910.34
  6. Step 6: Final answer
    x = 480,125.31

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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.