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Finding the Third Proportional to 88,747 and 193,531

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Solution

The third proportional to 88,747 and 193,531 is: 422,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,747 : 193,531 = 193,531 : x
  2. Step 2: Convert to fraction form
    88,747/193,531 = 193,531/x
  3. Step 3: Cross multiply
    88,747x = 193,531 × 193,531
  4. Step 4: Simplify right side
    88,747x = 37,454,247,961
  5. Step 5: Solve for x
    x = 37,454,247,961/88,747
  6. Step 6: Final answer
    x = 422,033.96

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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.