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Finding the Third Proportional to 218,427.75 and 467,222.63

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Solution

The third proportional to 218,427.75 and 467,222.63 is: 999,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,427.75 : 467,222.63 = 467,222.63 : x
  2. Step 2: Convert to fraction form
    218,427.75/467,222.63 = 467,222.63/x
  3. Step 3: Cross multiply
    218,427.75x = 467,222.63 × 467,222.63
  4. Step 4: Simplify right side
    218,427.75x = 218,296,981,311.89
  5. Step 5: Solve for x
    x = 218,296,981,311.89/218,427.75
  6. Step 6: Final answer
    x = 999,401.32

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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.