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Finding the Third Proportional to 92,830.50 and 198,189

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Solution

The third proportional to 92,830.50 and 198,189 is: 423,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,830.50 : 198,189 = 198,189 : x
  2. Step 2: Convert to fraction form
    92,830.50/198,189 = 198,189/x
  3. Step 3: Cross multiply
    92,830.50x = 198,189 × 198,189
  4. Step 4: Simplify right side
    92,830.50x = 39,278,879,721
  5. Step 5: Solve for x
    x = 39,278,879,721/92,830.50
  6. Step 6: Final answer
    x = 423,124.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.