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Finding the Third Proportional to 107,481.94 and 233,371.13

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Solution

The third proportional to 107,481.94 and 233,371.13 is: 506,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,481.94 : 233,371.13 = 233,371.13 : x
  2. Step 2: Convert to fraction form
    107,481.94/233,371.13 = 233,371.13/x
  3. Step 3: Cross multiply
    107,481.94x = 233,371.13 × 233,371.13
  4. Step 4: Simplify right side
    107,481.94x = 54,462,081,983.77
  5. Step 5: Solve for x
    x = 54,462,081,983.77/107,481.94
  6. Step 6: Final answer
    x = 506,709.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.