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Finding the Third Proportional to 83,014,616.25 and 181,667,364.75

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Solution

The third proportional to 83,014,616.25 and 181,667,364.75 is: 397,556,874.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,014,616.25 : 181,667,364.75 = 181,667,364.75 : x
  2. Step 2: Convert to fraction form
    83,014,616.25/181,667,364.75 = 181,667,364.75/x
  3. Step 3: Cross multiply
    83,014,616.25x = 181,667,364.75 × 181,667,364.75
  4. Step 4: Simplify right side
    83,014,616.25x = 33,003,031,415,209,544
  5. Step 5: Solve for x
    x = 33,003,031,415,209,544/83,014,616.25
  6. Step 6: Final answer
    x = 397,556,874.99

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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.