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Finding the Third Proportional to 99,954 and 214,728

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Solution

The third proportional to 99,954 and 214,728 is: 461,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,954 : 214,728 = 214,728 : x
  2. Step 2: Convert to fraction form
    99,954/214,728 = 214,728/x
  3. Step 3: Cross multiply
    99,954x = 214,728 × 214,728
  4. Step 4: Simplify right side
    99,954x = 46,108,113,984
  5. Step 5: Solve for x
    x = 46,108,113,984/99,954
  6. Step 6: Final answer
    x = 461,293.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.