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Finding the Third Proportional to 93,664 and 200,496

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Solution

The third proportional to 93,664 and 200,496 is: 429,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,664 : 200,496 = 200,496 : x
  2. Step 2: Convert to fraction form
    93,664/200,496 = 200,496/x
  3. Step 3: Cross multiply
    93,664x = 200,496 × 200,496
  4. Step 4: Simplify right side
    93,664x = 40,198,646,016
  5. Step 5: Solve for x
    x = 40,198,646,016/93,664
  6. Step 6: Final answer
    x = 429,179.26

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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.