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Finding the Third Proportional to 93,500 and 205,694

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Solution

The third proportional to 93,500 and 205,694 is: 452,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,500 : 205,694 = 205,694 : x
  2. Step 2: Convert to fraction form
    93,500/205,694 = 205,694/x
  3. Step 3: Cross multiply
    93,500x = 205,694 × 205,694
  4. Step 4: Simplify right side
    93,500x = 42,310,021,636
  5. Step 5: Solve for x
    x = 42,310,021,636/93,500
  6. Step 6: Final answer
    x = 452,513.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.