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Finding the Third Proportional to 100,264.50 and 214,062.75

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Solution

The third proportional to 100,264.50 and 214,062.75 is: 457,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,264.50 : 214,062.75 = 214,062.75 : x
  2. Step 2: Convert to fraction form
    100,264.50/214,062.75 = 214,062.75/x
  3. Step 3: Cross multiply
    100,264.50x = 214,062.75 × 214,062.75
  4. Step 4: Simplify right side
    100,264.50x = 45,822,860,937.56
  5. Step 5: Solve for x
    x = 45,822,860,937.56/100,264.50
  6. Step 6: Final answer
    x = 457,019.79

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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.