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Finding the Third Proportional to 99,511 and 210,252

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Solution

The third proportional to 99,511 and 210,252 is: 444,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,511 : 210,252 = 210,252 : x
  2. Step 2: Convert to fraction form
    99,511/210,252 = 210,252/x
  3. Step 3: Cross multiply
    99,511x = 210,252 × 210,252
  4. Step 4: Simplify right side
    99,511x = 44,205,903,504
  5. Step 5: Solve for x
    x = 44,205,903,504/99,511
  6. Step 6: Final answer
    x = 444,231.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.