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Finding the Third Proportional to 99,198 and 153,175.50

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Solution

The third proportional to 99,198 and 153,175.50 is: 236,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,198 : 153,175.50 = 153,175.50 : x
  2. Step 2: Convert to fraction form
    99,198/153,175.50 = 153,175.50/x
  3. Step 3: Cross multiply
    99,198x = 153,175.50 × 153,175.50
  4. Step 4: Simplify right side
    99,198x = 23,462,733,800.25
  5. Step 5: Solve for x
    x = 23,462,733,800.25/99,198
  6. Step 6: Final answer
    x = 236,524.26

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Why These Related Problems?

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