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Finding the Third Proportional to 49,218.75 and 105,429.38

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Solution

The third proportional to 49,218.75 and 105,429.38 is: 225,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,218.75 : 105,429.38 = 105,429.38 : x
  2. Step 2: Convert to fraction form
    49,218.75/105,429.38 = 105,429.38/x
  3. Step 3: Cross multiply
    49,218.75x = 105,429.38 × 105,429.38
  4. Step 4: Simplify right side
    49,218.75x = 11,115,353,112.89
  5. Step 5: Solve for x
    x = 11,115,353,112.89/49,218.75
  6. Step 6: Final answer
    x = 225,835.75

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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.