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Finding the Third Proportional to 92,711 and 201,946

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Solution

The third proportional to 92,711 and 201,946 is: 439,885.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,711 : 201,946 = 201,946 : x
  2. Step 2: Convert to fraction form
    92,711/201,946 = 201,946/x
  3. Step 3: Cross multiply
    92,711x = 201,946 × 201,946
  4. Step 4: Simplify right side
    92,711x = 40,782,186,916
  5. Step 5: Solve for x
    x = 40,782,186,916/92,711
  6. Step 6: Final answer
    x = 439,885.09

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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.