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Finding the Third Proportional to 64,199.25 and 154,661.63

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Solution

The third proportional to 64,199.25 and 154,661.63 is: 372,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,199.25 : 154,661.63 = 154,661.63 : x
  2. Step 2: Convert to fraction form
    64,199.25/154,661.63 = 154,661.63/x
  3. Step 3: Cross multiply
    64,199.25x = 154,661.63 × 154,661.63
  4. Step 4: Simplify right side
    64,199.25x = 23,920,218,247.64
  5. Step 5: Solve for x
    x = 23,920,218,247.64/64,199.25
  6. Step 6: Final answer
    x = 372,593.42

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.