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Finding the Third Proportional to 49,304.25 and 105,999.75

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Solution

The third proportional to 49,304.25 and 105,999.75 is: 227,890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,304.25 : 105,999.75 = 105,999.75 : x
  2. Step 2: Convert to fraction form
    49,304.25/105,999.75 = 105,999.75/x
  3. Step 3: Cross multiply
    49,304.25x = 105,999.75 × 105,999.75
  4. Step 4: Simplify right side
    49,304.25x = 11,235,947,000.06
  5. Step 5: Solve for x
    x = 11,235,947,000.06/49,304.25
  6. Step 6: Final answer
    x = 227,890.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.