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Finding the Third Proportional to 98,188 and 150,137

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Solution

The third proportional to 98,188 and 150,137 is: 229,571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,188 : 150,137 = 150,137 : x
  2. Step 2: Convert to fraction form
    98,188/150,137 = 150,137/x
  3. Step 3: Cross multiply
    98,188x = 150,137 × 150,137
  4. Step 4: Simplify right side
    98,188x = 22,541,118,769
  5. Step 5: Solve for x
    x = 22,541,118,769/98,188
  6. Step 6: Final answer
    x = 229,571.01

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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.