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Finding the Third Proportional to 92,519 and 198,155

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Solution

The third proportional to 92,519 and 198,155 is: 424,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,519 : 198,155 = 198,155 : x
  2. Step 2: Convert to fraction form
    92,519/198,155 = 198,155/x
  3. Step 3: Cross multiply
    92,519x = 198,155 × 198,155
  4. Step 4: Simplify right side
    92,519x = 39,265,404,025
  5. Step 5: Solve for x
    x = 39,265,404,025/92,519
  6. Step 6: Final answer
    x = 424,403.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.