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Finding the Third Proportional to 102,144 and 219,848

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Solution

The third proportional to 102,144 and 219,848 is: 473,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,144 : 219,848 = 219,848 : x
  2. Step 2: Convert to fraction form
    102,144/219,848 = 219,848/x
  3. Step 3: Cross multiply
    102,144x = 219,848 × 219,848
  4. Step 4: Simplify right side
    102,144x = 48,333,143,104
  5. Step 5: Solve for x
    x = 48,333,143,104/102,144
  6. Step 6: Final answer
    x = 473,186.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.