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Finding the Third Proportional to 103,326 and 219,052

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Solution

The third proportional to 103,326 and 219,052 is: 464,392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,326 : 219,052 = 219,052 : x
  2. Step 2: Convert to fraction form
    103,326/219,052 = 219,052/x
  3. Step 3: Cross multiply
    103,326x = 219,052 × 219,052
  4. Step 4: Simplify right side
    103,326x = 47,983,778,704
  5. Step 5: Solve for x
    x = 47,983,778,704/103,326
  6. Step 6: Final answer
    x = 464,392.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.