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Finding the Third Proportional to 93,358 and 204,856

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Solution

The third proportional to 93,358 and 204,856 is: 449,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,358 : 204,856 = 204,856 : x
  2. Step 2: Convert to fraction form
    93,358/204,856 = 204,856/x
  3. Step 3: Cross multiply
    93,358x = 204,856 × 204,856
  4. Step 4: Simplify right side
    93,358x = 41,965,980,736
  5. Step 5: Solve for x
    x = 41,965,980,736/93,358
  6. Step 6: Final answer
    x = 449,516.71

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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.