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Finding the Third Proportional to 47,167.31 and 99,781.88

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Solution

The third proportional to 47,167.31 and 99,781.88 is: 211,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,167.31 : 99,781.88 = 99,781.88 : x
  2. Step 2: Convert to fraction form
    47,167.31/99,781.88 = 99,781.88/x
  3. Step 3: Cross multiply
    47,167.31x = 99,781.88 × 99,781.88
  4. Step 4: Simplify right side
    47,167.31x = 9,956,422,578.52
  5. Step 5: Solve for x
    x = 9,956,422,578.52/47,167.31
  6. Step 6: Final answer
    x = 211,087.34

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.