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Finding the Third Proportional to 99,235.13 and 202,844.25

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Solution

The third proportional to 99,235.13 and 202,844.25 is: 414,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,235.13 : 202,844.25 = 202,844.25 : x
  2. Step 2: Convert to fraction form
    99,235.13/202,844.25 = 202,844.25/x
  3. Step 3: Cross multiply
    99,235.13x = 202,844.25 × 202,844.25
  4. Step 4: Simplify right side
    99,235.13x = 41,145,789,758.06
  5. Step 5: Solve for x
    x = 41,145,789,758.06/99,235.13
  6. Step 6: Final answer
    x = 414,629.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.