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Finding the Third Proportional to 47,468 and 109,913

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Solution

The third proportional to 47,468 and 109,913 is: 254,505.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,468 : 109,913 = 109,913 : x
  2. Step 2: Convert to fraction form
    47,468/109,913 = 109,913/x
  3. Step 3: Cross multiply
    47,468x = 109,913 × 109,913
  4. Step 4: Simplify right side
    47,468x = 12,080,867,569
  5. Step 5: Solve for x
    x = 12,080,867,569/47,468
  6. Step 6: Final answer
    x = 254,505.51

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.