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Finding the Third Proportional to 47,869.31 and 99,675.56

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Solution

The third proportional to 47,869.31 and 99,675.56 is: 207,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,869.31 : 99,675.56 = 99,675.56 : x
  2. Step 2: Convert to fraction form
    47,869.31/99,675.56 = 99,675.56/x
  3. Step 3: Cross multiply
    47,869.31x = 99,675.56 × 99,675.56
  4. Step 4: Simplify right side
    47,869.31x = 9,935,217,759.69
  5. Step 5: Solve for x
    x = 9,935,217,759.69/47,869.31
  6. Step 6: Final answer
    x = 207,548.79

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.