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Finding the Third Proportional to 47,996.50 and 104,369

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Solution

The third proportional to 47,996.50 and 104,369 is: 226,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,996.50 : 104,369 = 104,369 : x
  2. Step 2: Convert to fraction form
    47,996.50/104,369 = 104,369/x
  3. Step 3: Cross multiply
    47,996.50x = 104,369 × 104,369
  4. Step 4: Simplify right side
    47,996.50x = 10,892,888,161
  5. Step 5: Solve for x
    x = 10,892,888,161/47,996.50
  6. Step 6: Final answer
    x = 226,951.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.