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Finding the Third Proportional to 93,542 and 200,366

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Solution

The third proportional to 93,542 and 200,366 is: 429,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,542 : 200,366 = 200,366 : x
  2. Step 2: Convert to fraction form
    93,542/200,366 = 200,366/x
  3. Step 3: Cross multiply
    93,542x = 200,366 × 200,366
  4. Step 4: Simplify right side
    93,542x = 40,146,533,956
  5. Step 5: Solve for x
    x = 40,146,533,956/93,542
  6. Step 6: Final answer
    x = 429,181.91

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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.