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Finding the Third Proportional to 93,362 and 204,865

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Solution

The third proportional to 93,362 and 204,865 is: 449,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,362 : 204,865 = 204,865 : x
  2. Step 2: Convert to fraction form
    93,362/204,865 = 204,865/x
  3. Step 3: Cross multiply
    93,362x = 204,865 × 204,865
  4. Step 4: Simplify right side
    93,362x = 41,969,668,225
  5. Step 5: Solve for x
    x = 41,969,668,225/93,362
  6. Step 6: Final answer
    x = 449,536.94

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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.