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Finding the Third Proportional to 86,971.50 and 188,814

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Solution

The third proportional to 86,971.50 and 188,814 is: 409,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,971.50 : 188,814 = 188,814 : x
  2. Step 2: Convert to fraction form
    86,971.50/188,814 = 188,814/x
  3. Step 3: Cross multiply
    86,971.50x = 188,814 × 188,814
  4. Step 4: Simplify right side
    86,971.50x = 35,650,726,596
  5. Step 5: Solve for x
    x = 35,650,726,596/86,971.50
  6. Step 6: Final answer
    x = 409,912.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.