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Finding the Third Proportional to 239,831,634,219 and 533,286,198,870

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Solution

The third proportional to 239,831,634,219 and 533,286,198,870 is: 1,185,807,580,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,831,634,219 : 533,286,198,870 = 533,286,198,870 : x
  2. Step 2: Convert to fraction form
    239,831,634,219/533,286,198,870 = 533,286,198,870/x
  3. Step 3: Cross multiply
    239,831,634,219x = 533,286,198,870 × 533,286,198,870
  4. Step 4: Simplify right side
    239,831,634,219x = 284,394,169,905,213,205,381,120
  5. Step 5: Solve for x
    x = 284,394,169,905,213,205,381,120/239,831,634,219
  6. Step 6: Final answer
    x = 1,185,807,580,519.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.