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Finding the Third Proportional to 99,162 and 193,340

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Solution

The third proportional to 99,162 and 193,340 is: 376,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,162 : 193,340 = 193,340 : x
  2. Step 2: Convert to fraction form
    99,162/193,340 = 193,340/x
  3. Step 3: Cross multiply
    99,162x = 193,340 × 193,340
  4. Step 4: Simplify right side
    99,162x = 37,380,355,600
  5. Step 5: Solve for x
    x = 37,380,355,600/99,162
  6. Step 6: Final answer
    x = 376,962.50

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.