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Finding the Third Proportional to 100,883,219,845 and 222,329,652,840

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Solution

The third proportional to 100,883,219,845 and 222,329,652,840 is: 489,977,169,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,883,219,845 : 222,329,652,840 = 222,329,652,840 : x
  2. Step 2: Convert to fraction form
    100,883,219,845/222,329,652,840 = 222,329,652,840/x
  3. Step 3: Cross multiply
    100,883,219,845x = 222,329,652,840 × 222,329,652,840
  4. Step 4: Simplify right side
    100,883,219,845x = 49,430,474,531,954,917,113,856
  5. Step 5: Solve for x
    x = 49,430,474,531,954,917,113,856/100,883,219,845
  6. Step 6: Final answer
    x = 489,977,169,720.61

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Why These Related Problems?

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