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Finding the Third Proportional to 100,507.50 and 211,366.13

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Solution

The third proportional to 100,507.50 and 211,366.13 is: 444,500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,507.50 : 211,366.13 = 211,366.13 : x
  2. Step 2: Convert to fraction form
    100,507.50/211,366.13 = 211,366.13/x
  3. Step 3: Cross multiply
    100,507.50x = 211,366.13 × 211,366.13
  4. Step 4: Simplify right side
    100,507.50x = 44,675,638,797.52
  5. Step 5: Solve for x
    x = 44,675,638,797.52/100,507.50
  6. Step 6: Final answer
    x = 444,500.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.