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Finding the Third Proportional to 100,616 and 211,024

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Solution

The third proportional to 100,616 and 211,024 is: 442,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,616 : 211,024 = 211,024 : x
  2. Step 2: Convert to fraction form
    100,616/211,024 = 211,024/x
  3. Step 3: Cross multiply
    100,616x = 211,024 × 211,024
  4. Step 4: Simplify right side
    100,616x = 44,531,128,576
  5. Step 5: Solve for x
    x = 44,531,128,576/100,616
  6. Step 6: Final answer
    x = 442,584.96

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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.