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Finding the Third Proportional to 100,883,219,833.12 and 222,329,652,817.79

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Solution

The third proportional to 100,883,219,833.12 and 222,329,652,817.79 is: 489,977,169,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,883,219,833.12 : 222,329,652,817.79 = 222,329,652,817.79 : x
  2. Step 2: Convert to fraction form
    100,883,219,833.12/222,329,652,817.79 = 222,329,652,817.79/x
  3. Step 3: Cross multiply
    100,883,219,833.12x = 222,329,652,817.79 × 222,329,652,817.79
  4. Step 4: Simplify right side
    100,883,219,833.12x = 49,430,474,522,079,042,469,888
  5. Step 5: Solve for x
    x = 49,430,474,522,079,042,469,888/100,883,219,833.12
  6. Step 6: Final answer
    x = 489,977,169,680.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.