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Finding the Third Proportional to 96,271.75 and 214,679.25

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Solution

The third proportional to 96,271.75 and 214,679.25 is: 478,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,271.75 : 214,679.25 = 214,679.25 : x
  2. Step 2: Convert to fraction form
    96,271.75/214,679.25 = 214,679.25/x
  3. Step 3: Cross multiply
    96,271.75x = 214,679.25 × 214,679.25
  4. Step 4: Simplify right side
    96,271.75x = 46,087,180,380.56
  5. Step 5: Solve for x
    x = 46,087,180,380.56/96,271.75
  6. Step 6: Final answer
    x = 478,719.67

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.