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Finding the Third Proportional to 96,251.63 and 231,881.06

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Solution

The third proportional to 96,251.63 and 231,881.06 is: 558,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,251.63 : 231,881.06 = 231,881.06 : x
  2. Step 2: Convert to fraction form
    96,251.63/231,881.06 = 231,881.06/x
  3. Step 3: Cross multiply
    96,251.63x = 231,881.06 × 231,881.06
  4. Step 4: Simplify right side
    96,251.63x = 53,768,827,146.13
  5. Step 5: Solve for x
    x = 53,768,827,146.13/96,251.63
  6. Step 6: Final answer
    x = 558,627.73

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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.