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Finding the Third Proportional to 185,129,583.75 and 394,862,915.25

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Solution

The third proportional to 185,129,583.75 and 394,862,915.25 is: 842,203,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,129,583.75 : 394,862,915.25 = 394,862,915.25 : x
  2. Step 2: Convert to fraction form
    185,129,583.75/394,862,915.25 = 394,862,915.25/x
  3. Step 3: Cross multiply
    185,129,583.75x = 394,862,915.25 × 394,862,915.25
  4. Step 4: Simplify right side
    185,129,583.75x = 155,916,721,839,728,672
  5. Step 5: Solve for x
    x = 155,916,721,839,728,672/185,129,583.75
  6. Step 6: Final answer
    x = 842,203,167.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.