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Finding the Third Proportional to 98,256.38 and 149,208.75

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Solution

The third proportional to 98,256.38 and 149,208.75 is: 226,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,256.38 : 149,208.75 = 149,208.75 : x
  2. Step 2: Convert to fraction form
    98,256.38/149,208.75 = 149,208.75/x
  3. Step 3: Cross multiply
    98,256.38x = 149,208.75 × 149,208.75
  4. Step 4: Simplify right side
    98,256.38x = 22,263,251,076.56
  5. Step 5: Solve for x
    x = 22,263,251,076.56/98,256.38
  6. Step 6: Final answer
    x = 226,583.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.