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Finding the Third Proportional to 86,208.75 and 187,936.50

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Solution

The third proportional to 86,208.75 and 187,936.50 is: 409,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,208.75 : 187,936.50 = 187,936.50 : x
  2. Step 2: Convert to fraction form
    86,208.75/187,936.50 = 187,936.50/x
  3. Step 3: Cross multiply
    86,208.75x = 187,936.50 × 187,936.50
  4. Step 4: Simplify right side
    86,208.75x = 35,320,128,032.25
  5. Step 5: Solve for x
    x = 35,320,128,032.25/86,208.75
  6. Step 6: Final answer
    x = 409,704.68

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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.