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Finding the Third Proportional to 98,793 and 192,604.50

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Solution

The third proportional to 98,793 and 192,604.50 is: 375,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,793 : 192,604.50 = 192,604.50 : x
  2. Step 2: Convert to fraction form
    98,793/192,604.50 = 192,604.50/x
  3. Step 3: Cross multiply
    98,793x = 192,604.50 × 192,604.50
  4. Step 4: Simplify right side
    98,793x = 37,096,493,420.25
  5. Step 5: Solve for x
    x = 37,096,493,420.25/98,793
  6. Step 6: Final answer
    x = 375,497.19

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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.