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Finding the Third Proportional to 86,929 and 190,449

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Solution

The third proportional to 86,929 and 190,449 is: 417,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,929 : 190,449 = 190,449 : x
  2. Step 2: Convert to fraction form
    86,929/190,449 = 190,449/x
  3. Step 3: Cross multiply
    86,929x = 190,449 × 190,449
  4. Step 4: Simplify right side
    86,929x = 36,270,821,601
  5. Step 5: Solve for x
    x = 36,270,821,601/86,929
  6. Step 6: Final answer
    x = 417,246.51

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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.