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Finding the Third Proportional to 100,401.25 and 211,156.75

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Solution

The third proportional to 100,401.25 and 211,156.75 is: 444,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,401.25 : 211,156.75 = 211,156.75 : x
  2. Step 2: Convert to fraction form
    100,401.25/211,156.75 = 211,156.75/x
  3. Step 3: Cross multiply
    100,401.25x = 211,156.75 × 211,156.75
  4. Step 4: Simplify right side
    100,401.25x = 44,587,173,070.56
  5. Step 5: Solve for x
    x = 44,587,173,070.56/100,401.25
  6. Step 6: Final answer
    x = 444,089.82

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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.