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Finding the Third Proportional to 103,653 and 213,848

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Solution

The third proportional to 103,653 and 213,848 is: 441,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,653 : 213,848 = 213,848 : x
  2. Step 2: Convert to fraction form
    103,653/213,848 = 213,848/x
  3. Step 3: Cross multiply
    103,653x = 213,848 × 213,848
  4. Step 4: Simplify right side
    103,653x = 45,730,967,104
  5. Step 5: Solve for x
    x = 45,730,967,104/103,653
  6. Step 6: Final answer
    x = 441,192.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.