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Finding the Third Proportional to 86,190.75 and 200,292.75

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Solution

The third proportional to 86,190.75 and 200,292.75 is: 465,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,190.75 : 200,292.75 = 200,292.75 : x
  2. Step 2: Convert to fraction form
    86,190.75/200,292.75 = 200,292.75/x
  3. Step 3: Cross multiply
    86,190.75x = 200,292.75 × 200,292.75
  4. Step 4: Simplify right side
    86,190.75x = 40,117,185,702.56
  5. Step 5: Solve for x
    x = 40,117,185,702.56/86,190.75
  6. Step 6: Final answer
    x = 465,446.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.