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Finding the Third Proportional to 47,849 and 104,770

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Solution

The third proportional to 47,849 and 104,770 is: 229,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,849 : 104,770 = 104,770 : x
  2. Step 2: Convert to fraction form
    47,849/104,770 = 104,770/x
  3. Step 3: Cross multiply
    47,849x = 104,770 × 104,770
  4. Step 4: Simplify right side
    47,849x = 10,976,752,900
  5. Step 5: Solve for x
    x = 10,976,752,900/47,849
  6. Step 6: Final answer
    x = 229,404.02

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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.