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Finding the Third Proportional to 86,649.75 and 186,219

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Solution

The third proportional to 86,649.75 and 186,219 is: 400,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,649.75 : 186,219 = 186,219 : x
  2. Step 2: Convert to fraction form
    86,649.75/186,219 = 186,219/x
  3. Step 3: Cross multiply
    86,649.75x = 186,219 × 186,219
  4. Step 4: Simplify right side
    86,649.75x = 34,677,515,961
  5. Step 5: Solve for x
    x = 34,677,515,961/86,649.75
  6. Step 6: Final answer
    x = 400,203.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.