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Finding the Third Proportional to 47,911 and 98,895

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Solution

The third proportional to 47,911 and 98,895 is: 204,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,911 : 98,895 = 98,895 : x
  2. Step 2: Convert to fraction form
    47,911/98,895 = 98,895/x
  3. Step 3: Cross multiply
    47,911x = 98,895 × 98,895
  4. Step 4: Simplify right side
    47,911x = 9,780,221,025
  5. Step 5: Solve for x
    x = 9,780,221,025/47,911
  6. Step 6: Final answer
    x = 204,133.10

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.