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Finding the Third Proportional to 47,994.40 and 104,736.80

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Solution

The third proportional to 47,994.40 and 104,736.80 is: 228,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,994.40 : 104,736.80 = 104,736.80 : x
  2. Step 2: Convert to fraction form
    47,994.40/104,736.80 = 104,736.80/x
  3. Step 3: Cross multiply
    47,994.40x = 104,736.80 × 104,736.80
  4. Step 4: Simplify right side
    47,994.40x = 10,969,796,619.64
  5. Step 5: Solve for x
    x = 10,969,796,619.64/47,994.40
  6. Step 6: Final answer
    x = 228,564.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.