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Finding the Third Proportional to 84,212,740 and 184,275,306

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Solution

The third proportional to 84,212,740 and 184,275,306 is: 403,233,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,212,740 : 184,275,306 = 184,275,306 : x
  2. Step 2: Convert to fraction form
    84,212,740/184,275,306 = 184,275,306/x
  3. Step 3: Cross multiply
    84,212,740x = 184,275,306 × 184,275,306
  4. Step 4: Simplify right side
    84,212,740x = 33,957,388,401,393,636
  5. Step 5: Solve for x
    x = 33,957,388,401,393,636/84,212,740
  6. Step 6: Final answer
    x = 403,233,387.27

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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.