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Finding the Third Proportional to 98,204 and 150,164

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Solution

The third proportional to 98,204 and 150,164 is: 229,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,204 : 150,164 = 150,164 : x
  2. Step 2: Convert to fraction form
    98,204/150,164 = 150,164/x
  3. Step 3: Cross multiply
    98,204x = 150,164 × 150,164
  4. Step 4: Simplify right side
    98,204x = 22,549,226,896
  5. Step 5: Solve for x
    x = 22,549,226,896/98,204
  6. Step 6: Final answer
    x = 229,616.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.