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Finding the Third Proportional to 205,314,243 and 427,611,594

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Solution

The third proportional to 205,314,243 and 427,611,594 is: 890,594,206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,314,243 : 427,611,594 = 427,611,594 : x
  2. Step 2: Convert to fraction form
    205,314,243/427,611,594 = 427,611,594/x
  3. Step 3: Cross multiply
    205,314,243x = 427,611,594 × 427,611,594
  4. Step 4: Simplify right side
    205,314,243x = 182,851,675,323,220,832
  5. Step 5: Solve for x
    x = 182,851,675,323,220,832/205,314,243
  6. Step 6: Final answer
    x = 890,594,206.48

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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.