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Finding the Third Proportional to 40,108.50 and 86,403.38

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Solution

The third proportional to 40,108.50 and 86,403.38 is: 186,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,108.50 : 86,403.38 = 86,403.38 : x
  2. Step 2: Convert to fraction form
    40,108.50/86,403.38 = 86,403.38/x
  3. Step 3: Cross multiply
    40,108.50x = 86,403.38 × 86,403.38
  4. Step 4: Simplify right side
    40,108.50x = 7,465,543,211.39
  5. Step 5: Solve for x
    x = 7,465,543,211.39/40,108.50
  6. Step 6: Final answer
    x = 186,133.69

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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.