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Finding the Third Proportional to 93,377 and 204,894

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Solution

The third proportional to 93,377 and 204,894 is: 449,591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,377 : 204,894 = 204,894 : x
  2. Step 2: Convert to fraction form
    93,377/204,894 = 204,894/x
  3. Step 3: Cross multiply
    93,377x = 204,894 × 204,894
  4. Step 4: Simplify right side
    93,377x = 41,981,551,236
  5. Step 5: Solve for x
    x = 41,981,551,236/93,377
  6. Step 6: Final answer
    x = 449,591.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.