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Finding the Third Proportional to 236,764,771,958 and 342,084,208,872

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Solution

The third proportional to 236,764,771,958 and 342,084,208,872 is: 494,252,607,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,764,771,958 : 342,084,208,872 = 342,084,208,872 : x
  2. Step 2: Convert to fraction form
    236,764,771,958/342,084,208,872 = 342,084,208,872/x
  3. Step 3: Cross multiply
    236,764,771,958x = 342,084,208,872 × 342,084,208,872
  4. Step 4: Simplify right side
    236,764,771,958x = 117,021,605,959,582,122,770,432
  5. Step 5: Solve for x
    x = 117,021,605,959,582,122,770,432/236,764,771,958
  6. Step 6: Final answer
    x = 494,252,607,733.13

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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.