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Finding the Third Proportional to 86,406.75 and 200,161.13

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Solution

The third proportional to 86,406.75 and 200,161.13 is: 463,672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,406.75 : 200,161.13 = 200,161.13 : x
  2. Step 2: Convert to fraction form
    86,406.75/200,161.13 = 200,161.13/x
  3. Step 3: Cross multiply
    86,406.75x = 200,161.13 × 200,161.13
  4. Step 4: Simplify right side
    86,406.75x = 40,064,475,961.27
  5. Step 5: Solve for x
    x = 40,064,475,961.27/86,406.75
  6. Step 6: Final answer
    x = 463,672.99

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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.