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Finding the Third Proportional to 154,147,878 and 363,761,397

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Solution

The third proportional to 154,147,878 and 363,761,397 is: 858,411,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,147,878 : 363,761,397 = 363,761,397 : x
  2. Step 2: Convert to fraction form
    154,147,878/363,761,397 = 363,761,397/x
  3. Step 3: Cross multiply
    154,147,878x = 363,761,397 × 363,761,397
  4. Step 4: Simplify right side
    154,147,878x = 132,322,353,947,391,616
  5. Step 5: Solve for x
    x = 132,322,353,947,391,616/154,147,878
  6. Step 6: Final answer
    x = 858,411,777.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.