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Finding the Third Proportional to 105,663 and 220,047

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Solution

The third proportional to 105,663 and 220,047 is: 458,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,663 : 220,047 = 220,047 : x
  2. Step 2: Convert to fraction form
    105,663/220,047 = 220,047/x
  3. Step 3: Cross multiply
    105,663x = 220,047 × 220,047
  4. Step 4: Simplify right side
    105,663x = 48,420,682,209
  5. Step 5: Solve for x
    x = 48,420,682,209/105,663
  6. Step 6: Final answer
    x = 458,255.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.