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Finding the Third Proportional to 47,844 and 104,755.50

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Solution

The third proportional to 47,844 and 104,755.50 is: 229,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,844 : 104,755.50 = 104,755.50 : x
  2. Step 2: Convert to fraction form
    47,844/104,755.50 = 104,755.50/x
  3. Step 3: Cross multiply
    47,844x = 104,755.50 × 104,755.50
  4. Step 4: Simplify right side
    47,844x = 10,973,714,780.25
  5. Step 5: Solve for x
    x = 10,973,714,780.25/47,844
  6. Step 6: Final answer
    x = 229,364.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.