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Finding the Third Proportional to 40,199.63 and 86,545.13

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Solution

The third proportional to 40,199.63 and 86,545.13 is: 186,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,199.63 : 86,545.13 = 86,545.13 : x
  2. Step 2: Convert to fraction form
    40,199.63/86,545.13 = 86,545.13/x
  3. Step 3: Cross multiply
    40,199.63x = 86,545.13 × 86,545.13
  4. Step 4: Simplify right side
    40,199.63x = 7,490,058,661.27
  5. Step 5: Solve for x
    x = 7,490,058,661.27/40,199.63
  6. Step 6: Final answer
    x = 186,321.61

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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.