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Finding the Third Proportional to 119,795,049 and 184,019,863.50

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Solution

The third proportional to 119,795,049 and 184,019,863.50 is: 282,677,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,795,049 : 184,019,863.50 = 184,019,863.50 : x
  2. Step 2: Convert to fraction form
    119,795,049/184,019,863.50 = 184,019,863.50/x
  3. Step 3: Cross multiply
    119,795,049x = 184,019,863.50 × 184,019,863.50
  4. Step 4: Simplify right side
    119,795,049x = 33,863,310,162,558,632
  5. Step 5: Solve for x
    x = 33,863,310,162,558,632/119,795,049
  6. Step 6: Final answer
    x = 282,677,042.54

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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.