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Finding the Third Proportional to 93,523 and 200,446

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Solution

The third proportional to 93,523 and 200,446 is: 429,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,523 : 200,446 = 200,446 : x
  2. Step 2: Convert to fraction form
    93,523/200,446 = 200,446/x
  3. Step 3: Cross multiply
    93,523x = 200,446 × 200,446
  4. Step 4: Simplify right side
    93,523x = 40,178,598,916
  5. Step 5: Solve for x
    x = 40,178,598,916/93,523
  6. Step 6: Final answer
    x = 429,611.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.