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Finding the Third Proportional to 93,701 and 198,269

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Solution

The third proportional to 93,701 and 198,269 is: 419,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,701 : 198,269 = 198,269 : x
  2. Step 2: Convert to fraction form
    93,701/198,269 = 198,269/x
  3. Step 3: Cross multiply
    93,701x = 198,269 × 198,269
  4. Step 4: Simplify right side
    93,701x = 39,310,596,361
  5. Step 5: Solve for x
    x = 39,310,596,361/93,701
  6. Step 6: Final answer
    x = 419,532.30

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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.