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Finding the Third Proportional to 99,855 and 151,836.75

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Solution

The third proportional to 99,855 and 151,836.75 is: 230,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,855 : 151,836.75 = 151,836.75 : x
  2. Step 2: Convert to fraction form
    99,855/151,836.75 = 151,836.75/x
  3. Step 3: Cross multiply
    99,855x = 151,836.75 × 151,836.75
  4. Step 4: Simplify right side
    99,855x = 23,054,398,650.56
  5. Step 5: Solve for x
    x = 23,054,398,650.56/99,855
  6. Step 6: Final answer
    x = 230,878.76

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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.