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Finding the Third Proportional to 93,606 and 205,356

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Solution

The third proportional to 93,606 and 205,356 is: 450,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,606 : 205,356 = 205,356 : x
  2. Step 2: Convert to fraction form
    93,606/205,356 = 205,356/x
  3. Step 3: Cross multiply
    93,606x = 205,356 × 205,356
  4. Step 4: Simplify right side
    93,606x = 42,171,086,736
  5. Step 5: Solve for x
    x = 42,171,086,736/93,606
  6. Step 6: Final answer
    x = 450,516.92

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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.