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Finding the Third Proportional to 102,718,743,160 and 208,325,703,824

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Solution

The third proportional to 102,718,743,160 and 208,325,703,824 is: 422,509,052,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,718,743,160 : 208,325,703,824 = 208,325,703,824 : x
  2. Step 2: Convert to fraction form
    102,718,743,160/208,325,703,824 = 208,325,703,824/x
  3. Step 3: Cross multiply
    102,718,743,160x = 208,325,703,824 × 208,325,703,824
  4. Step 4: Simplify right side
    102,718,743,160x = 43,399,598,873,764,968,792,064
  5. Step 5: Solve for x
    x = 43,399,598,873,764,968,792,064/102,718,743,160
  6. Step 6: Final answer
    x = 422,509,052,765.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.