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Finding the Third Proportional to 93,824 and 203,308

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Solution

The third proportional to 93,824 and 203,308 is: 440,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,824 : 203,308 = 203,308 : x
  2. Step 2: Convert to fraction form
    93,824/203,308 = 203,308/x
  3. Step 3: Cross multiply
    93,824x = 203,308 × 203,308
  4. Step 4: Simplify right side
    93,824x = 41,334,142,864
  5. Step 5: Solve for x
    x = 41,334,142,864/93,824
  6. Step 6: Final answer
    x = 440,549.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.