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Finding the Third Proportional to 93,640 and 204,797

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Solution

The third proportional to 93,640 and 204,797 is: 447,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,640 : 204,797 = 204,797 : x
  2. Step 2: Convert to fraction form
    93,640/204,797 = 204,797/x
  3. Step 3: Cross multiply
    93,640x = 204,797 × 204,797
  4. Step 4: Simplify right side
    93,640x = 41,941,811,209
  5. Step 5: Solve for x
    x = 41,941,811,209/93,640
  6. Step 6: Final answer
    x = 447,904.86

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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.