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Finding the Third Proportional to 86,929.31 and 190,468.69

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Solution

The third proportional to 86,929.31 and 190,468.69 is: 417,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,929.31 : 190,468.69 = 190,468.69 : x
  2. Step 2: Convert to fraction form
    86,929.31/190,468.69 = 190,468.69/x
  3. Step 3: Cross multiply
    86,929.31x = 190,468.69 × 190,468.69
  4. Step 4: Simplify right side
    86,929.31x = 36,278,320,917.97
  5. Step 5: Solve for x
    x = 36,278,320,917.97/86,929.31
  6. Step 6: Final answer
    x = 417,331.28

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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.