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Finding the Third Proportional to 107,350.69 and 229,463.63

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Solution

The third proportional to 107,350.69 and 229,463.63 is: 490,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,350.69 : 229,463.63 = 229,463.63 : x
  2. Step 2: Convert to fraction form
    107,350.69/229,463.63 = 229,463.63/x
  3. Step 3: Cross multiply
    107,350.69x = 229,463.63 × 229,463.63
  4. Step 4: Simplify right side
    107,350.69x = 52,653,555,198.14
  5. Step 5: Solve for x
    x = 52,653,555,198.14/107,350.69
  6. Step 6: Final answer
    x = 490,481.77

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Why These Related Problems?

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