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Finding the Third Proportional to 92,477 and 198,988

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Solution

The third proportional to 92,477 and 198,988 is: 428,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,477 : 198,988 = 198,988 : x
  2. Step 2: Convert to fraction form
    92,477/198,988 = 198,988/x
  3. Step 3: Cross multiply
    92,477x = 198,988 × 198,988
  4. Step 4: Simplify right side
    92,477x = 39,596,224,144
  5. Step 5: Solve for x
    x = 39,596,224,144/92,477
  6. Step 6: Final answer
    x = 428,173.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.