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Finding the Third Proportional to 98,439.05 and 201,029.34

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Solution

The third proportional to 98,439.05 and 201,029.34 is: 410,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,439.05 : 201,029.34 = 201,029.34 : x
  2. Step 2: Convert to fraction form
    98,439.05/201,029.34 = 201,029.34/x
  3. Step 3: Cross multiply
    98,439.05x = 201,029.34 × 201,029.34
  4. Step 4: Simplify right side
    98,439.05x = 40,412,797,048.56
  5. Step 5: Solve for x
    x = 40,412,797,048.56/98,439.05
  6. Step 6: Final answer
    x = 410,536.25

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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.