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Finding the Third Proportional to 92,350.50 and 198,492

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Solution

The third proportional to 92,350.50 and 198,492 is: 426,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,350.50 : 198,492 = 198,492 : x
  2. Step 2: Convert to fraction form
    92,350.50/198,492 = 198,492/x
  3. Step 3: Cross multiply
    92,350.50x = 198,492 × 198,492
  4. Step 4: Simplify right side
    92,350.50x = 39,399,074,064
  5. Step 5: Solve for x
    x = 39,399,074,064/92,350.50
  6. Step 6: Final answer
    x = 426,625.45

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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.