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Finding the Third Proportional to 88,823 and 193,684

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Solution

The third proportional to 88,823 and 193,684 is: 422,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,823 : 193,684 = 193,684 : x
  2. Step 2: Convert to fraction form
    88,823/193,684 = 193,684/x
  3. Step 3: Cross multiply
    88,823x = 193,684 × 193,684
  4. Step 4: Simplify right side
    88,823x = 37,513,491,856
  5. Step 5: Solve for x
    x = 37,513,491,856/88,823
  6. Step 6: Final answer
    x = 422,339.84

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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.