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Finding the Third Proportional to 99,196 and 209,912

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Solution

The third proportional to 99,196 and 209,912 is: 444,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,196 : 209,912 = 209,912 : x
  2. Step 2: Convert to fraction form
    99,196/209,912 = 209,912/x
  3. Step 3: Cross multiply
    99,196x = 209,912 × 209,912
  4. Step 4: Simplify right side
    99,196x = 44,063,047,744
  5. Step 5: Solve for x
    x = 44,063,047,744/99,196
  6. Step 6: Final answer
    x = 444,201.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.