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Finding the Third Proportional to 212,394,166 and 462,166,268

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Solution

The third proportional to 212,394,166 and 462,166,268 is: 1,005,666,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,394,166 : 462,166,268 = 462,166,268 : x
  2. Step 2: Convert to fraction form
    212,394,166/462,166,268 = 462,166,268/x
  3. Step 3: Cross multiply
    212,394,166x = 462,166,268 × 462,166,268
  4. Step 4: Simplify right side
    212,394,166x = 213,597,659,277,047,808
  5. Step 5: Solve for x
    x = 213,597,659,277,047,808/212,394,166
  6. Step 6: Final answer
    x = 1,005,666,319.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.