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Finding the Third Proportional to 99,917 and 209,071

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Solution

The third proportional to 99,917 and 209,071 is: 437,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,917 : 209,071 = 209,071 : x
  2. Step 2: Convert to fraction form
    99,917/209,071 = 209,071/x
  3. Step 3: Cross multiply
    99,917x = 209,071 × 209,071
  4. Step 4: Simplify right side
    99,917x = 43,710,683,041
  5. Step 5: Solve for x
    x = 43,710,683,041/99,917
  6. Step 6: Final answer
    x = 437,469.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.