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Finding the Third Proportional to 98,189.16 and 150,137.16

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Solution

The third proportional to 98,189.16 and 150,137.16 is: 229,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,189.16 : 150,137.16 = 150,137.16 : x
  2. Step 2: Convert to fraction form
    98,189.16/150,137.16 = 150,137.16/x
  3. Step 3: Cross multiply
    98,189.16x = 150,137.16 × 150,137.16
  4. Step 4: Simplify right side
    98,189.16x = 22,541,165,686.84
  5. Step 5: Solve for x
    x = 22,541,165,686.84/98,189.16
  6. Step 6: Final answer
    x = 229,568.79

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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.