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Finding the Third Proportional to 100,614 and 211,020

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Solution

The third proportional to 100,614 and 211,020 is: 442,576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,614 : 211,020 = 211,020 : x
  2. Step 2: Convert to fraction form
    100,614/211,020 = 211,020/x
  3. Step 3: Cross multiply
    100,614x = 211,020 × 211,020
  4. Step 4: Simplify right side
    100,614x = 44,529,440,400
  5. Step 5: Solve for x
    x = 44,529,440,400/100,614
  6. Step 6: Final answer
    x = 442,576.98

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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.