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Finding the Third Proportional to 92,156 and 200,701

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Solution

The third proportional to 92,156 and 200,701 is: 437,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,156 : 200,701 = 200,701 : x
  2. Step 2: Convert to fraction form
    92,156/200,701 = 200,701/x
  3. Step 3: Cross multiply
    92,156x = 200,701 × 200,701
  4. Step 4: Simplify right side
    92,156x = 40,280,891,401
  5. Step 5: Solve for x
    x = 40,280,891,401/92,156
  6. Step 6: Final answer
    x = 437,094.62

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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.