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Finding the Third Proportional to 205,314,376 and 427,611,860

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Solution

The third proportional to 205,314,376 and 427,611,860 is: 890,594,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,314,376 : 427,611,860 = 427,611,860 : x
  2. Step 2: Convert to fraction form
    205,314,376/427,611,860 = 427,611,860/x
  3. Step 3: Cross multiply
    205,314,376x = 427,611,860 × 427,611,860
  4. Step 4: Simplify right side
    205,314,376x = 182,851,902,812,659,584
  5. Step 5: Solve for x
    x = 182,851,902,812,659,584/205,314,376
  6. Step 6: Final answer
    x = 890,594,737.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.