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Finding the Third Proportional to 97,275.94 and 150,229.69

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Solution

The third proportional to 97,275.94 and 150,229.69 is: 232,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,275.94 : 150,229.69 = 150,229.69 : x
  2. Step 2: Convert to fraction form
    97,275.94/150,229.69 = 150,229.69/x
  3. Step 3: Cross multiply
    97,275.94x = 150,229.69 × 150,229.69
  4. Step 4: Simplify right side
    97,275.94x = 22,568,959,006.35
  5. Step 5: Solve for x
    x = 22,568,959,006.35/97,275.94
  6. Step 6: Final answer
    x = 232,009.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.