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Finding the Third Proportional to 108,699.75 and 150,198.94

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Solution

The third proportional to 108,699.75 and 150,198.94 is: 207,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,699.75 : 150,198.94 = 150,198.94 : x
  2. Step 2: Convert to fraction form
    108,699.75/150,198.94 = 150,198.94/x
  3. Step 3: Cross multiply
    108,699.75x = 150,198.94 × 150,198.94
  4. Step 4: Simplify right side
    108,699.75x = 22,559,720,826.13
  5. Step 5: Solve for x
    x = 22,559,720,826.13/108,699.75
  6. Step 6: Final answer
    x = 207,541.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.