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Finding the Third Proportional to 105,235.69 and 230,843.81

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Solution

The third proportional to 105,235.69 and 230,843.81 is: 506,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,235.69 : 230,843.81 = 230,843.81 : x
  2. Step 2: Convert to fraction form
    105,235.69/230,843.81 = 230,843.81/x
  3. Step 3: Cross multiply
    105,235.69x = 230,843.81 × 230,843.81
  4. Step 4: Simplify right side
    105,235.69x = 53,288,865,769.54
  5. Step 5: Solve for x
    x = 53,288,865,769.54/105,235.69
  6. Step 6: Final answer
    x = 506,376.37

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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.