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Finding the Third Proportional to 135,648.75 and 199,552.88

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Solution

The third proportional to 135,648.75 and 199,552.88 is: 293,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648.75 : 199,552.88 = 199,552.88 : x
  2. Step 2: Convert to fraction form
    135,648.75/199,552.88 = 199,552.88/x
  3. Step 3: Cross multiply
    135,648.75x = 199,552.88 × 199,552.88
  4. Step 4: Simplify right side
    135,648.75x = 39,821,349,920.77
  5. Step 5: Solve for x
    x = 39,821,349,920.77/135,648.75
  6. Step 6: Final answer
    x = 293,562.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.