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Finding the Third Proportional to 92,270 and 199,336

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Solution

The third proportional to 92,270 and 199,336 is: 430,636.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,270 : 199,336 = 199,336 : x
  2. Step 2: Convert to fraction form
    92,270/199,336 = 199,336/x
  3. Step 3: Cross multiply
    92,270x = 199,336 × 199,336
  4. Step 4: Simplify right side
    92,270x = 39,734,840,896
  5. Step 5: Solve for x
    x = 39,734,840,896/92,270
  6. Step 6: Final answer
    x = 430,636.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.