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Finding the Third Proportional to 96,661.50 and 212,235.38

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Solution

The third proportional to 96,661.50 and 212,235.38 is: 465,995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,661.50 : 212,235.38 = 212,235.38 : x
  2. Step 2: Convert to fraction form
    96,661.50/212,235.38 = 212,235.38/x
  3. Step 3: Cross multiply
    96,661.50x = 212,235.38 × 212,235.38
  4. Step 4: Simplify right side
    96,661.50x = 45,043,854,401.39
  5. Step 5: Solve for x
    x = 45,043,854,401.39/96,661.50
  6. Step 6: Final answer
    x = 465,995.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.