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Finding the Third Proportional to 96,235.50 and 231,840

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Solution

The third proportional to 96,235.50 and 231,840 is: 558,523.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,235.50 : 231,840 = 231,840 : x
  2. Step 2: Convert to fraction form
    96,235.50/231,840 = 231,840/x
  3. Step 3: Cross multiply
    96,235.50x = 231,840 × 231,840
  4. Step 4: Simplify right side
    96,235.50x = 53,749,785,600
  5. Step 5: Solve for x
    x = 53,749,785,600/96,235.50
  6. Step 6: Final answer
    x = 558,523.47

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