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Finding the Third Proportional to 82,003.22 and 133,903.97

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Solution

The third proportional to 82,003.22 and 133,903.97 is: 218,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003.22 : 133,903.97 = 133,903.97 : x
  2. Step 2: Convert to fraction form
    82,003.22/133,903.97 = 133,903.97/x
  3. Step 3: Cross multiply
    82,003.22x = 133,903.97 × 133,903.97
  4. Step 4: Simplify right side
    82,003.22x = 17,930,272,847.00
  5. Step 5: Solve for x
    x = 17,930,272,847.00/82,003.22
  6. Step 6: Final answer
    x = 218,653.28

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.