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Finding the Third Proportional to 86,261.41 and 188,515.27

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Solution

The third proportional to 86,261.41 and 188,515.27 is: 411,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,261.41 : 188,515.27 = 188,515.27 : x
  2. Step 2: Convert to fraction form
    86,261.41/188,515.27 = 188,515.27/x
  3. Step 3: Cross multiply
    86,261.41x = 188,515.27 × 188,515.27
  4. Step 4: Simplify right side
    86,261.41x = 35,538,005,373.66
  5. Step 5: Solve for x
    x = 35,538,005,373.66/86,261.41
  6. Step 6: Final answer
    x = 411,980.32

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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.