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Finding the Third Proportional to 93,481.80 and 198,179.16

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Solution

The third proportional to 93,481.80 and 198,179.16 is: 420,135.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,481.80 : 198,179.16 = 198,179.16 : x
  2. Step 2: Convert to fraction form
    93,481.80/198,179.16 = 198,179.16/x
  3. Step 3: Cross multiply
    93,481.80x = 198,179.16 × 198,179.16
  4. Step 4: Simplify right side
    93,481.80x = 39,274,977,971.96
  5. Step 5: Solve for x
    x = 39,274,977,971.96/93,481.80
  6. Step 6: Final answer
    x = 420,135.00

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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.