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Finding the Third Proportional to 83,770.50 and 180,663

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Solution

The third proportional to 83,770.50 and 180,663 is: 389,625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,770.50 : 180,663 = 180,663 : x
  2. Step 2: Convert to fraction form
    83,770.50/180,663 = 180,663/x
  3. Step 3: Cross multiply
    83,770.50x = 180,663 × 180,663
  4. Step 4: Simplify right side
    83,770.50x = 32,639,119,569
  5. Step 5: Solve for x
    x = 32,639,119,569/83,770.50
  6. Step 6: Final answer
    x = 389,625.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.