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Finding the Third Proportional to 103,056 and 219,612

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Solution

The third proportional to 103,056 and 219,612 is: 467,992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,056 : 219,612 = 219,612 : x
  2. Step 2: Convert to fraction form
    103,056/219,612 = 219,612/x
  3. Step 3: Cross multiply
    103,056x = 219,612 × 219,612
  4. Step 4: Simplify right side
    103,056x = 48,229,430,544
  5. Step 5: Solve for x
    x = 48,229,430,544/103,056
  6. Step 6: Final answer
    x = 467,992.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.