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Finding the Third Proportional to 96,253.50 and 231,886

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Solution

The third proportional to 96,253.50 and 231,886 is: 558,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,253.50 : 231,886 = 231,886 : x
  2. Step 2: Convert to fraction form
    96,253.50/231,886 = 231,886/x
  3. Step 3: Cross multiply
    96,253.50x = 231,886 × 231,886
  4. Step 4: Simplify right side
    96,253.50x = 53,771,116,996
  5. Step 5: Solve for x
    x = 53,771,116,996/96,253.50
  6. Step 6: Final answer
    x = 558,640.64

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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.