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Finding the Third Proportional to 86,259.94 and 187,707.38

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Solution

The third proportional to 86,259.94 and 187,707.38 is: 408,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,259.94 : 187,707.38 = 187,707.38 : x
  2. Step 2: Convert to fraction form
    86,259.94/187,707.38 = 187,707.38/x
  3. Step 3: Cross multiply
    86,259.94x = 187,707.38 × 187,707.38
  4. Step 4: Simplify right side
    86,259.94x = 35,234,058,629.39
  5. Step 5: Solve for x
    x = 35,234,058,629.39/86,259.94
  6. Step 6: Final answer
    x = 408,463.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.