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Finding the Third Proportional to 83,516.06 and 185,663.39

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Solution

The third proportional to 83,516.06 and 185,663.39 is: 412,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,516.06 : 185,663.39 = 185,663.39 : x
  2. Step 2: Convert to fraction form
    83,516.06/185,663.39 = 185,663.39/x
  3. Step 3: Cross multiply
    83,516.06x = 185,663.39 × 185,663.39
  4. Step 4: Simplify right side
    83,516.06x = 34,470,894,618.37
  5. Step 5: Solve for x
    x = 34,470,894,618.37/83,516.06
  6. Step 6: Final answer
    x = 412,745.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.