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Finding the Third Proportional to 86,512.64 and 185,327.16

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Solution

The third proportional to 86,512.64 and 185,327.16 is: 397,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,512.64 : 185,327.16 = 185,327.16 : x
  2. Step 2: Convert to fraction form
    86,512.64/185,327.16 = 185,327.16/x
  3. Step 3: Cross multiply
    86,512.64x = 185,327.16 × 185,327.16
  4. Step 4: Simplify right side
    86,512.64x = 34,346,154,843.71
  5. Step 5: Solve for x
    x = 34,346,154,843.71/86,512.64
  6. Step 6: Final answer
    x = 397,007.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.