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Finding the Third Proportional to 195,005,872,022 and 274,611,239,355

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Solution

The third proportional to 195,005,872,022 and 274,611,239,355 is: 386,713,138,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,005,872,022 : 274,611,239,355 = 274,611,239,355 : x
  2. Step 2: Convert to fraction form
    195,005,872,022/274,611,239,355 = 274,611,239,355/x
  3. Step 3: Cross multiply
    195,005,872,022x = 274,611,239,355 × 274,611,239,355
  4. Step 4: Simplify right side
    195,005,872,022x = 75,411,332,780,089,099,157,504
  5. Step 5: Solve for x
    x = 75,411,332,780,089,099,157,504/195,005,872,022
  6. Step 6: Final answer
    x = 386,713,138,420.68

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.