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Finding the Third Proportional to 86,232.09 and 185,576.06

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Solution

The third proportional to 86,232.09 and 185,576.06 is: 399,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,232.09 : 185,576.06 = 185,576.06 : x
  2. Step 2: Convert to fraction form
    86,232.09/185,576.06 = 185,576.06/x
  3. Step 3: Cross multiply
    86,232.09x = 185,576.06 × 185,576.06
  4. Step 4: Simplify right side
    86,232.09x = 34,438,474,973.00
  5. Step 5: Solve for x
    x = 34,438,474,973.00/86,232.09
  6. Step 6: Final answer
    x = 399,369.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.