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Finding the Third Proportional to 77,718.38 and 166,462.88

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Solution

The third proportional to 77,718.38 and 166,462.88 is: 356,542.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,718.38 : 166,462.88 = 166,462.88 : x
  2. Step 2: Convert to fraction form
    77,718.38/166,462.88 = 166,462.88/x
  3. Step 3: Cross multiply
    77,718.38x = 166,462.88 × 166,462.88
  4. Step 4: Simplify right side
    77,718.38x = 27,709,888,753.27
  5. Step 5: Solve for x
    x = 27,709,888,753.27/77,718.38
  6. Step 6: Final answer
    x = 356,542.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.