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Finding the Third Proportional to 83,014,611.75 and 181,667,355.19

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Solution

The third proportional to 83,014,611.75 and 181,667,355.19 is: 397,556,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,014,611.75 : 181,667,355.19 = 181,667,355.19 : x
  2. Step 2: Convert to fraction form
    83,014,611.75/181,667,355.19 = 181,667,355.19/x
  3. Step 3: Cross multiply
    83,014,611.75x = 181,667,355.19 × 181,667,355.19
  4. Step 4: Simplify right side
    83,014,611.75x = 33,003,027,940,821,284
  5. Step 5: Solve for x
    x = 33,003,027,940,821,284/83,014,611.75
  6. Step 6: Final answer
    x = 397,556,854.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.