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Finding the Third Proportional to 205,314,381 and 427,611,870

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Solution

The third proportional to 205,314,381 and 427,611,870 is: 890,594,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,314,381 : 427,611,870 = 427,611,870 : x
  2. Step 2: Convert to fraction form
    205,314,381/427,611,870 = 427,611,870/x
  3. Step 3: Cross multiply
    205,314,381x = 427,611,870 × 427,611,870
  4. Step 4: Simplify right side
    205,314,381x = 182,851,911,364,896,896
  5. Step 5: Solve for x
    x = 182,851,911,364,896,896/205,314,381
  6. Step 6: Final answer
    x = 890,594,757.53

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