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Finding the Third Proportional to 107,309.81 and 233,072.44

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Solution

The third proportional to 107,309.81 and 233,072.44 is: 506,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,309.81 : 233,072.44 = 233,072.44 : x
  2. Step 2: Convert to fraction form
    107,309.81/233,072.44 = 233,072.44/x
  3. Step 3: Cross multiply
    107,309.81x = 233,072.44 × 233,072.44
  4. Step 4: Simplify right side
    107,309.81x = 54,322,761,122.19
  5. Step 5: Solve for x
    x = 54,322,761,122.19/107,309.81
  6. Step 6: Final answer
    x = 506,223.61

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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.