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Finding the Third Proportional to 95,945.63 and 150,503.06

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Solution

The third proportional to 95,945.63 and 150,503.06 is: 236,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,945.63 : 150,503.06 = 150,503.06 : x
  2. Step 2: Convert to fraction form
    95,945.63/150,503.06 = 150,503.06/x
  3. Step 3: Cross multiply
    95,945.63x = 150,503.06 × 150,503.06
  4. Step 4: Simplify right side
    95,945.63x = 22,651,171,821.88
  5. Step 5: Solve for x
    x = 22,651,171,821.88/95,945.63
  6. Step 6: Final answer
    x = 236,083.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.