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Finding the Third Proportional to 83,014,722 and 181,667,598

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Solution

The third proportional to 83,014,722 and 181,667,598 is: 397,557,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,014,722 : 181,667,598 = 181,667,598 : x
  2. Step 2: Convert to fraction form
    83,014,722/181,667,598 = 181,667,598/x
  3. Step 3: Cross multiply
    83,014,722x = 181,667,598 × 181,667,598
  4. Step 4: Simplify right side
    83,014,722x = 33,003,116,163,089,604
  5. Step 5: Solve for x
    x = 33,003,116,163,089,604/83,014,722
  6. Step 6: Final answer
    x = 397,557,389.44

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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.