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Finding the Third Proportional to 104,210.72 and 212,104.41

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Solution

The third proportional to 104,210.72 and 212,104.41 is: 431,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,210.72 : 212,104.41 = 212,104.41 : x
  2. Step 2: Convert to fraction form
    104,210.72/212,104.41 = 212,104.41/x
  3. Step 3: Cross multiply
    104,210.72x = 212,104.41 × 212,104.41
  4. Step 4: Simplify right side
    104,210.72x = 44,988,279,150.67
  5. Step 5: Solve for x
    x = 44,988,279,150.67/104,210.72
  6. Step 6: Final answer
    x = 431,704.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.