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Finding the Third Proportional to 92,370 and 198,987

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Solution

The third proportional to 92,370 and 198,987 is: 428,665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,370 : 198,987 = 198,987 : x
  2. Step 2: Convert to fraction form
    92,370/198,987 = 198,987/x
  3. Step 3: Cross multiply
    92,370x = 198,987 × 198,987
  4. Step 4: Simplify right side
    92,370x = 39,595,826,169
  5. Step 5: Solve for x
    x = 39,595,826,169/92,370
  6. Step 6: Final answer
    x = 428,665.43

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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.