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Finding the Third Proportional to 22,978.69 and 49,192.31

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Solution

The third proportional to 22,978.69 and 49,192.31 is: 105,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.69 : 49,192.31 = 49,192.31 : x
  2. Step 2: Convert to fraction form
    22,978.69/49,192.31 = 49,192.31/x
  3. Step 3: Cross multiply
    22,978.69x = 49,192.31 × 49,192.31
  4. Step 4: Simplify right side
    22,978.69x = 2,419,883,609.10
  5. Step 5: Solve for x
    x = 2,419,883,609.10/22,978.69
  6. Step 6: Final answer
    x = 105,309.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.