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Finding the Third Proportional to 104,262 and 220,002

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Solution

The third proportional to 104,262 and 220,002 is: 464,223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,262 : 220,002 = 220,002 : x
  2. Step 2: Convert to fraction form
    104,262/220,002 = 220,002/x
  3. Step 3: Cross multiply
    104,262x = 220,002 × 220,002
  4. Step 4: Simplify right side
    104,262x = 48,400,880,004
  5. Step 5: Solve for x
    x = 48,400,880,004/104,262
  6. Step 6: Final answer
    x = 464,223.59

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.