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Finding the Third Proportional to 92,299.50 and 198,743.63

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Solution

The third proportional to 92,299.50 and 198,743.63 is: 427,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,299.50 : 198,743.63 = 198,743.63 : x
  2. Step 2: Convert to fraction form
    92,299.50/198,743.63 = 198,743.63/x
  3. Step 3: Cross multiply
    92,299.50x = 198,743.63 × 198,743.63
  4. Step 4: Simplify right side
    92,299.50x = 39,499,028,478.14
  5. Step 5: Solve for x
    x = 39,499,028,478.14/92,299.50
  6. Step 6: Final answer
    x = 427,944.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.