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Finding the Third Proportional to 104,213.50 and 212,109.50

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Solution

The third proportional to 104,213.50 and 212,109.50 is: 431,714.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,213.50 : 212,109.50 = 212,109.50 : x
  2. Step 2: Convert to fraction form
    104,213.50/212,109.50 = 212,109.50/x
  3. Step 3: Cross multiply
    104,213.50x = 212,109.50 × 212,109.50
  4. Step 4: Simplify right side
    104,213.50x = 44,990,439,990.25
  5. Step 5: Solve for x
    x = 44,990,439,990.25/104,213.50
  6. Step 6: Final answer
    x = 431,714.13

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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.