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Finding the Third Proportional to 83,569.22 and 182,379.09

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Solution

The third proportional to 83,569.22 and 182,379.09 is: 398,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,569.22 : 182,379.09 = 182,379.09 : x
  2. Step 2: Convert to fraction form
    83,569.22/182,379.09 = 182,379.09/x
  3. Step 3: Cross multiply
    83,569.22x = 182,379.09 × 182,379.09
  4. Step 4: Simplify right side
    83,569.22x = 33,262,133,837.07
  5. Step 5: Solve for x
    x = 33,262,133,837.07/83,569.22
  6. Step 6: Final answer
    x = 398,018.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.