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Finding the Third Proportional to 99,036 and 193,110.75

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Solution

The third proportional to 99,036 and 193,110.75 is: 376,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,036 : 193,110.75 = 193,110.75 : x
  2. Step 2: Convert to fraction form
    99,036/193,110.75 = 193,110.75/x
  3. Step 3: Cross multiply
    99,036x = 193,110.75 × 193,110.75
  4. Step 4: Simplify right side
    99,036x = 37,291,761,765.56
  5. Step 5: Solve for x
    x = 37,291,761,765.56/99,036
  6. Step 6: Final answer
    x = 376,547.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.