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Finding the Third Proportional to 93,327 and 198,174

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Solution

The third proportional to 93,327 and 198,174 is: 420,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,327 : 198,174 = 198,174 : x
  2. Step 2: Convert to fraction form
    93,327/198,174 = 198,174/x
  3. Step 3: Cross multiply
    93,327x = 198,174 × 198,174
  4. Step 4: Simplify right side
    93,327x = 39,272,934,276
  5. Step 5: Solve for x
    x = 39,272,934,276/93,327
  6. Step 6: Final answer
    x = 420,809.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.