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Finding the Third Proportional to 96,831 and 212,325.75

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Solution

The third proportional to 96,831 and 212,325.75 is: 465,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,831 : 212,325.75 = 212,325.75 : x
  2. Step 2: Convert to fraction form
    96,831/212,325.75 = 212,325.75/x
  3. Step 3: Cross multiply
    96,831x = 212,325.75 × 212,325.75
  4. Step 4: Simplify right side
    96,831x = 45,082,224,113.06
  5. Step 5: Solve for x
    x = 45,082,224,113.06/96,831
  6. Step 6: Final answer
    x = 465,576.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.