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Finding the Third Proportional to 96,248.25 and 231,872.63

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Solution

The third proportional to 96,248.25 and 231,872.63 is: 558,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,248.25 : 231,872.63 = 231,872.63 : x
  2. Step 2: Convert to fraction form
    96,248.25/231,872.63 = 231,872.63/x
  3. Step 3: Cross multiply
    96,248.25x = 231,872.63 × 231,872.63
  4. Step 4: Simplify right side
    96,248.25x = 53,764,914,224.39
  5. Step 5: Solve for x
    x = 53,764,914,224.39/96,248.25
  6. Step 6: Final answer
    x = 558,606.67

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.