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Finding the Third Proportional to 47,108 and 99,055

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Solution

The third proportional to 47,108 and 99,055 is: 208,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,108 : 99,055 = 99,055 : x
  2. Step 2: Convert to fraction form
    47,108/99,055 = 99,055/x
  3. Step 3: Cross multiply
    47,108x = 99,055 × 99,055
  4. Step 4: Simplify right side
    47,108x = 9,811,893,025
  5. Step 5: Solve for x
    x = 9,811,893,025/47,108
  6. Step 6: Final answer
    x = 208,285.07

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.