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Finding the Third Proportional to 86,936 and 190,768

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Solution

The third proportional to 86,936 and 190,768 is: 418,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,936 : 190,768 = 190,768 : x
  2. Step 2: Convert to fraction form
    86,936/190,768 = 190,768/x
  3. Step 3: Cross multiply
    86,936x = 190,768 × 190,768
  4. Step 4: Simplify right side
    86,936x = 36,392,429,824
  5. Step 5: Solve for x
    x = 36,392,429,824/86,936
  6. Step 6: Final answer
    x = 418,611.74

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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.