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Finding the Third Proportional to 80,536.78 and 181,957.64

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Solution

The third proportional to 80,536.78 and 181,957.64 is: 411,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,536.78 : 181,957.64 = 181,957.64 : x
  2. Step 2: Convert to fraction form
    80,536.78/181,957.64 = 181,957.64/x
  3. Step 3: Cross multiply
    80,536.78x = 181,957.64 × 181,957.64
  4. Step 4: Simplify right side
    80,536.78x = 33,108,582,981.82
  5. Step 5: Solve for x
    x = 33,108,582,981.82/80,536.78
  6. Step 6: Final answer
    x = 411,098.91

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.