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Finding the Third Proportional to 102,216.94 and 155,170.69

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Solution

The third proportional to 102,216.94 and 155,170.69 is: 235,557.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,216.94 : 155,170.69 = 155,170.69 : x
  2. Step 2: Convert to fraction form
    102,216.94/155,170.69 = 155,170.69/x
  3. Step 3: Cross multiply
    102,216.94x = 155,170.69 × 155,170.69
  4. Step 4: Simplify right side
    102,216.94x = 24,077,942,259.22
  5. Step 5: Solve for x
    x = 24,077,942,259.22/102,216.94
  6. Step 6: Final answer
    x = 235,557.27

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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.