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Finding the Third Proportional to 93,691.69 and 204,013.69

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Solution

The third proportional to 93,691.69 and 204,013.69 is: 444,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,691.69 : 204,013.69 = 204,013.69 : x
  2. Step 2: Convert to fraction form
    93,691.69/204,013.69 = 204,013.69/x
  3. Step 3: Cross multiply
    93,691.69x = 204,013.69 × 204,013.69
  4. Step 4: Simplify right side
    93,691.69x = 41,621,584,687.35
  5. Step 5: Solve for x
    x = 41,621,584,687.35/93,691.69
  6. Step 6: Final answer
    x = 444,239.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.