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Finding the Third Proportional to 93,350 and 204,844

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Solution

The third proportional to 93,350 and 204,844 is: 449,502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,350 : 204,844 = 204,844 : x
  2. Step 2: Convert to fraction form
    93,350/204,844 = 204,844/x
  3. Step 3: Cross multiply
    93,350x = 204,844 × 204,844
  4. Step 4: Simplify right side
    93,350x = 41,961,064,336
  5. Step 5: Solve for x
    x = 41,961,064,336/93,350
  6. Step 6: Final answer
    x = 449,502.56

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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.