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Finding the Third Proportional to 83,311.03 and 180,837.56

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Solution

The third proportional to 83,311.03 and 180,837.56 is: 392,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,311.03 : 180,837.56 = 180,837.56 : x
  2. Step 2: Convert to fraction form
    83,311.03/180,837.56 = 180,837.56/x
  3. Step 3: Cross multiply
    83,311.03x = 180,837.56 × 180,837.56
  4. Step 4: Simplify right side
    83,311.03x = 32,702,224,010.94
  5. Step 5: Solve for x
    x = 32,702,224,010.94/83,311.03
  6. Step 6: Final answer
    x = 392,531.74

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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.