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Finding the Third Proportional to 116,691.47 and 237,662.44

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Solution

The third proportional to 116,691.47 and 237,662.44 is: 484,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,691.47 : 237,662.44 = 237,662.44 : x
  2. Step 2: Convert to fraction form
    116,691.47/237,662.44 = 237,662.44/x
  3. Step 3: Cross multiply
    116,691.47x = 237,662.44 × 237,662.44
  4. Step 4: Simplify right side
    116,691.47x = 56,483,434,198.44
  5. Step 5: Solve for x
    x = 56,483,434,198.44/116,691.47
  6. Step 6: Final answer
    x = 484,040.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.