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Finding the Third Proportional to 93,984 and 203,456

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Solution

The third proportional to 93,984 and 203,456 is: 440,440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,984 : 203,456 = 203,456 : x
  2. Step 2: Convert to fraction form
    93,984/203,456 = 203,456/x
  3. Step 3: Cross multiply
    93,984x = 203,456 × 203,456
  4. Step 4: Simplify right side
    93,984x = 41,394,343,936
  5. Step 5: Solve for x
    x = 41,394,343,936/93,984
  6. Step 6: Final answer
    x = 440,440.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.