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Finding the Third Proportional to 118,512.56 and 220,212.56

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Solution

The third proportional to 118,512.56 and 220,212.56 is: 409,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,512.56 : 220,212.56 = 220,212.56 : x
  2. Step 2: Convert to fraction form
    118,512.56/220,212.56 = 220,212.56/x
  3. Step 3: Cross multiply
    118,512.56x = 220,212.56 × 220,212.56
  4. Step 4: Simplify right side
    118,512.56x = 48,493,572,682.82
  5. Step 5: Solve for x
    x = 48,493,572,682.82/118,512.56
  6. Step 6: Final answer
    x = 409,185.08

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.