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Finding the Third Proportional to 99,081 and 213,954

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Solution

The third proportional to 99,081 and 213,954 is: 462,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,081 : 213,954 = 213,954 : x
  2. Step 2: Convert to fraction form
    99,081/213,954 = 213,954/x
  3. Step 3: Cross multiply
    99,081x = 213,954 × 213,954
  4. Step 4: Simplify right side
    99,081x = 45,776,314,116
  5. Step 5: Solve for x
    x = 45,776,314,116/99,081
  6. Step 6: Final answer
    x = 462,009.00

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