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Finding the Third Proportional to 93,797 and 205,383

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Solution

The third proportional to 93,797 and 205,383 is: 449,717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,797 : 205,383 = 205,383 : x
  2. Step 2: Convert to fraction form
    93,797/205,383 = 205,383/x
  3. Step 3: Cross multiply
    93,797x = 205,383 × 205,383
  4. Step 4: Simplify right side
    93,797x = 42,182,176,689
  5. Step 5: Solve for x
    x = 42,182,176,689/93,797
  6. Step 6: Final answer
    x = 449,717.76

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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.