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Finding the Third Proportional to 103,088 and 219,676

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Solution

The third proportional to 103,088 and 219,676 is: 468,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,088 : 219,676 = 219,676 : x
  2. Step 2: Convert to fraction form
    103,088/219,676 = 219,676/x
  3. Step 3: Cross multiply
    103,088x = 219,676 × 219,676
  4. Step 4: Simplify right side
    103,088x = 48,257,544,976
  5. Step 5: Solve for x
    x = 48,257,544,976/103,088
  6. Step 6: Final answer
    x = 468,119.91

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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.