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Finding the Third Proportional to 134,957,729,539 and 281,085,830,984

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Solution

The third proportional to 134,957,729,539 and 281,085,830,984 is: 585,436,970,893.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,957,729,539 : 281,085,830,984 = 281,085,830,984 : x
  2. Step 2: Convert to fraction form
    134,957,729,539/281,085,830,984 = 281,085,830,984/x
  3. Step 3: Cross multiply
    134,957,729,539x = 281,085,830,984 × 281,085,830,984
  4. Step 4: Simplify right side
    134,957,729,539x = 79,009,244,379,965,806,346,240
  5. Step 5: Solve for x
    x = 79,009,244,379,965,806,346,240/134,957,729,539
  6. Step 6: Final answer
    x = 585,436,970,893.42

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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.