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Finding the Third Proportional to 93,699.28 and 198,265.22

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Solution

The third proportional to 93,699.28 and 198,265.22 is: 419,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,699.28 : 198,265.22 = 198,265.22 : x
  2. Step 2: Convert to fraction form
    93,699.28/198,265.22 = 198,265.22/x
  3. Step 3: Cross multiply
    93,699.28x = 198,265.22 × 198,265.22
  4. Step 4: Simplify right side
    93,699.28x = 39,309,096,965.99
  5. Step 5: Solve for x
    x = 39,309,096,965.99/93,699.28
  6. Step 6: Final answer
    x = 419,524.00

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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.