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Finding the Third Proportional to 92,324.25 and 198,770.63

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Solution

The third proportional to 92,324.25 and 198,770.63 is: 427,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,324.25 : 198,770.63 = 198,770.63 : x
  2. Step 2: Convert to fraction form
    92,324.25/198,770.63 = 198,770.63/x
  3. Step 3: Cross multiply
    92,324.25x = 198,770.63 × 198,770.63
  4. Step 4: Simplify right side
    92,324.25x = 39,509,761,362.89
  5. Step 5: Solve for x
    x = 39,509,761,362.89/92,324.25
  6. Step 6: Final answer
    x = 427,945.65

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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.