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Finding the Third Proportional to 49,289.86 and 104,732.34

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Solution

The third proportional to 49,289.86 and 104,732.34 is: 222,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,289.86 : 104,732.34 = 104,732.34 : x
  2. Step 2: Convert to fraction form
    49,289.86/104,732.34 = 104,732.34/x
  3. Step 3: Cross multiply
    49,289.86x = 104,732.34 × 104,732.34
  4. Step 4: Simplify right side
    49,289.86x = 10,968,863,827.37
  5. Step 5: Solve for x
    x = 10,968,863,827.37/49,289.86
  6. Step 6: Final answer
    x = 222,537.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.