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Finding the Third Proportional to 93,966 and 205,266

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Solution

The third proportional to 93,966 and 205,266 is: 448,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,966 : 205,266 = 205,266 : x
  2. Step 2: Convert to fraction form
    93,966/205,266 = 205,266/x
  3. Step 3: Cross multiply
    93,966x = 205,266 × 205,266
  4. Step 4: Simplify right side
    93,966x = 42,134,130,756
  5. Step 5: Solve for x
    x = 42,134,130,756/93,966
  6. Step 6: Final answer
    x = 448,397.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.