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Finding the Third Proportional to 42,198.26 and 99,612.07

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Solution

The third proportional to 42,198.26 and 99,612.07 is: 235,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,198.26 : 99,612.07 = 99,612.07 : x
  2. Step 2: Convert to fraction form
    42,198.26/99,612.07 = 99,612.07/x
  3. Step 3: Cross multiply
    42,198.26x = 99,612.07 × 99,612.07
  4. Step 4: Simplify right side
    42,198.26x = 9,922,564,551.94
  5. Step 5: Solve for x
    x = 9,922,564,551.94/42,198.26
  6. Step 6: Final answer
    x = 235,141.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.