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Finding the Third Proportional to 92,518 and 198,153

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Solution

The third proportional to 92,518 and 198,153 is: 424,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,518 : 198,153 = 198,153 : x
  2. Step 2: Convert to fraction form
    92,518/198,153 = 198,153/x
  3. Step 3: Cross multiply
    92,518x = 198,153 × 198,153
  4. Step 4: Simplify right side
    92,518x = 39,264,611,409
  5. Step 5: Solve for x
    x = 39,264,611,409/92,518
  6. Step 6: Final answer
    x = 424,399.70

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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.