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Finding the Third Proportional to 93,462 and 205,017

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Solution

The third proportional to 93,462 and 205,017 is: 449,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,462 : 205,017 = 205,017 : x
  2. Step 2: Convert to fraction form
    93,462/205,017 = 205,017/x
  3. Step 3: Cross multiply
    93,462x = 205,017 × 205,017
  4. Step 4: Simplify right side
    93,462x = 42,031,970,289
  5. Step 5: Solve for x
    x = 42,031,970,289/93,462
  6. Step 6: Final answer
    x = 449,722.56

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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.