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Finding the Third Proportional to 93,564 and 198,348

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Solution

The third proportional to 93,564 and 198,348 is: 420,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,564 : 198,348 = 198,348 : x
  2. Step 2: Convert to fraction form
    93,564/198,348 = 198,348/x
  3. Step 3: Cross multiply
    93,564x = 198,348 × 198,348
  4. Step 4: Simplify right side
    93,564x = 39,341,929,104
  5. Step 5: Solve for x
    x = 39,341,929,104/93,564
  6. Step 6: Final answer
    x = 420,481.48

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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.