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Finding the Third Proportional to 83,485.69 and 169,887.38

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Solution

The third proportional to 83,485.69 and 169,887.38 is: 345,708.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,485.69 : 169,887.38 = 169,887.38 : x
  2. Step 2: Convert to fraction form
    83,485.69/169,887.38 = 169,887.38/x
  3. Step 3: Cross multiply
    83,485.69x = 169,887.38 × 169,887.38
  4. Step 4: Simplify right side
    83,485.69x = 28,861,720,184.39
  5. Step 5: Solve for x
    x = 28,861,720,184.39/83,485.69
  6. Step 6: Final answer
    x = 345,708.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.