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Finding the Third Proportional to 83,074,214 and 181,809,099

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Solution

The third proportional to 83,074,214 and 181,809,099 is: 397,891,799.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074,214 : 181,809,099 = 181,809,099 : x
  2. Step 2: Convert to fraction form
    83,074,214/181,809,099 = 181,809,099/x
  3. Step 3: Cross multiply
    83,074,214x = 181,809,099 × 181,809,099
  4. Step 4: Simplify right side
    83,074,214x = 33,054,548,479,191,800
  5. Step 5: Solve for x
    x = 33,054,548,479,191,800/83,074,214
  6. Step 6: Final answer
    x = 397,891,799.24

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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.