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Finding the Third Proportional to 103,631 and 215,052

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Solution

The third proportional to 103,631 and 215,052 is: 446,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,631 : 215,052 = 215,052 : x
  2. Step 2: Convert to fraction form
    103,631/215,052 = 215,052/x
  3. Step 3: Cross multiply
    103,631x = 215,052 × 215,052
  4. Step 4: Simplify right side
    103,631x = 46,247,362,704
  5. Step 5: Solve for x
    x = 46,247,362,704/103,631
  6. Step 6: Final answer
    x = 446,269.58

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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.