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Finding the Third Proportional to 99,032 and 213,845

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Solution

The third proportional to 99,032 and 213,845 is: 461,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,032 : 213,845 = 213,845 : x
  2. Step 2: Convert to fraction form
    99,032/213,845 = 213,845/x
  3. Step 3: Cross multiply
    99,032x = 213,845 × 213,845
  4. Step 4: Simplify right side
    99,032x = 45,729,684,025
  5. Step 5: Solve for x
    x = 45,729,684,025/99,032
  6. Step 6: Final answer
    x = 461,766.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.