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Finding the Third Proportional to 47,067,383.81 and 101,952,199.13

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Solution

The third proportional to 47,067,383.81 and 101,952,199.13 is: 220,837,660.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,067,383.81 : 101,952,199.13 = 101,952,199.13 : x
  2. Step 2: Convert to fraction form
    47,067,383.81/101,952,199.13 = 101,952,199.13/x
  3. Step 3: Cross multiply
    47,067,383.81x = 101,952,199.13 × 101,952,199.13
  4. Step 4: Simplify right side
    47,067,383.81x = 10,394,250,906,423,650
  5. Step 5: Solve for x
    x = 10,394,250,906,423,650/47,067,383.81
  6. Step 6: Final answer
    x = 220,837,660.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.