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Finding the Third Proportional to 47,660.06 and 99,267.61

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Solution

The third proportional to 47,660.06 and 99,267.61 is: 206,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,660.06 : 99,267.61 = 99,267.61 : x
  2. Step 2: Convert to fraction form
    47,660.06/99,267.61 = 99,267.61/x
  3. Step 3: Cross multiply
    47,660.06x = 99,267.61 × 99,267.61
  4. Step 4: Simplify right side
    47,660.06x = 9,854,058,271.03
  5. Step 5: Solve for x
    x = 9,854,058,271.03/47,660.06
  6. Step 6: Final answer
    x = 206,757.14

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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.