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Finding the Third Proportional to 86,787 and 190,219

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Solution

The third proportional to 86,787 and 190,219 is: 416,920.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,787 : 190,219 = 190,219 : x
  2. Step 2: Convert to fraction form
    86,787/190,219 = 190,219/x
  3. Step 3: Cross multiply
    86,787x = 190,219 × 190,219
  4. Step 4: Simplify right side
    86,787x = 36,183,267,961
  5. Step 5: Solve for x
    x = 36,183,267,961/86,787
  6. Step 6: Final answer
    x = 416,920.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.