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Finding the Third Proportional to 86,541.75 and 185,400.56

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Solution

The third proportional to 86,541.75 and 185,400.56 is: 397,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,541.75 : 185,400.56 = 185,400.56 : x
  2. Step 2: Convert to fraction form
    86,541.75/185,400.56 = 185,400.56/x
  3. Step 3: Cross multiply
    86,541.75x = 185,400.56 × 185,400.56
  4. Step 4: Simplify right side
    86,541.75x = 34,373,368,575.32
  5. Step 5: Solve for x
    x = 34,373,368,575.32/86,541.75
  6. Step 6: Final answer
    x = 397,188.28

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