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Finding the Third Proportional to 95,908 and 150,448.50

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Solution

The third proportional to 95,908 and 150,448.50 is: 236,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,908 : 150,448.50 = 150,448.50 : x
  2. Step 2: Convert to fraction form
    95,908/150,448.50 = 150,448.50/x
  3. Step 3: Cross multiply
    95,908x = 150,448.50 × 150,448.50
  4. Step 4: Simplify right side
    95,908x = 22,634,751,152.25
  5. Step 5: Solve for x
    x = 22,634,751,152.25/95,908
  6. Step 6: Final answer
    x = 236,004.83

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