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Finding the Third Proportional to 102,296 and 218,803

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Solution

The third proportional to 102,296 and 218,803 is: 468,002.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,296 : 218,803 = 218,803 : x
  2. Step 2: Convert to fraction form
    102,296/218,803 = 218,803/x
  3. Step 3: Cross multiply
    102,296x = 218,803 × 218,803
  4. Step 4: Simplify right side
    102,296x = 47,874,752,809
  5. Step 5: Solve for x
    x = 47,874,752,809/102,296
  6. Step 6: Final answer
    x = 468,002.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.