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Finding the Third Proportional to 92,046 and 198,600

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Solution

The third proportional to 92,046 and 198,600 is: 428,502.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,046 : 198,600 = 198,600 : x
  2. Step 2: Convert to fraction form
    92,046/198,600 = 198,600/x
  3. Step 3: Cross multiply
    92,046x = 198,600 × 198,600
  4. Step 4: Simplify right side
    92,046x = 39,441,960,000
  5. Step 5: Solve for x
    x = 39,441,960,000/92,046
  6. Step 6: Final answer
    x = 428,502.71

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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.