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Finding the Third Proportional to 86,254.88 and 187,697.25

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Solution

The third proportional to 86,254.88 and 187,697.25 is: 408,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,254.88 : 187,697.25 = 187,697.25 : x
  2. Step 2: Convert to fraction form
    86,254.88/187,697.25 = 187,697.25/x
  3. Step 3: Cross multiply
    86,254.88x = 187,697.25 × 187,697.25
  4. Step 4: Simplify right side
    86,254.88x = 35,230,257,657.56
  5. Step 5: Solve for x
    x = 35,230,257,657.56/86,254.88
  6. Step 6: Final answer
    x = 408,443.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.