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Finding the Third Proportional to 99,021 and 149,004

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Solution

The third proportional to 99,021 and 149,004 is: 224,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,021 : 149,004 = 149,004 : x
  2. Step 2: Convert to fraction form
    99,021/149,004 = 149,004/x
  3. Step 3: Cross multiply
    99,021x = 149,004 × 149,004
  4. Step 4: Simplify right side
    99,021x = 22,202,192,016
  5. Step 5: Solve for x
    x = 22,202,192,016/99,021
  6. Step 6: Final answer
    x = 224,217.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.