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Finding the Third Proportional to 236,764,771,922 and 342,084,208,827

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Solution

The third proportional to 236,764,771,922 and 342,084,208,827 is: 494,252,607,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,764,771,922 : 342,084,208,827 = 342,084,208,827 : x
  2. Step 2: Convert to fraction form
    236,764,771,922/342,084,208,827 = 342,084,208,827/x
  3. Step 3: Cross multiply
    236,764,771,922x = 342,084,208,827 × 342,084,208,827
  4. Step 4: Simplify right side
    236,764,771,922x = 117,021,605,928,794,538,901,504
  5. Step 5: Solve for x
    x = 117,021,605,928,794,538,901,504/236,764,771,922
  6. Step 6: Final answer
    x = 494,252,607,678.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.