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Finding the Third Proportional to 93,384 and 204,900

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Solution

The third proportional to 93,384 and 204,900 is: 449,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,384 : 204,900 = 204,900 : x
  2. Step 2: Convert to fraction form
    93,384/204,900 = 204,900/x
  3. Step 3: Cross multiply
    93,384x = 204,900 × 204,900
  4. Step 4: Simplify right side
    93,384x = 41,984,010,000
  5. Step 5: Solve for x
    x = 41,984,010,000/93,384
  6. Step 6: Final answer
    x = 449,584.62

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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.