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Finding the Third Proportional to 104,848 and 219,416

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Solution

The third proportional to 104,848 and 219,416 is: 459,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,848 : 219,416 = 219,416 : x
  2. Step 2: Convert to fraction form
    104,848/219,416 = 219,416/x
  3. Step 3: Cross multiply
    104,848x = 219,416 × 219,416
  4. Step 4: Simplify right side
    104,848x = 48,143,381,056
  5. Step 5: Solve for x
    x = 48,143,381,056/104,848
  6. Step 6: Final answer
    x = 459,173.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.