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Finding the Third Proportional to 50,483,064,336 and 107,968,862,064

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Solution

The third proportional to 50,483,064,336 and 107,968,862,064 is: 230,914,571,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,483,064,336 : 107,968,862,064 = 107,968,862,064 : x
  2. Step 2: Convert to fraction form
    50,483,064,336/107,968,862,064 = 107,968,862,064/x
  3. Step 3: Cross multiply
    50,483,064,336x = 107,968,862,064 × 107,968,862,064
  4. Step 4: Simplify right side
    50,483,064,336x = 11,657,275,175,395,057,991,680
  5. Step 5: Solve for x
    x = 11,657,275,175,395,057,991,680/50,483,064,336
  6. Step 6: Final answer
    x = 230,914,571,623.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.