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Finding the Third Proportional to 236,764,771,952 and 342,084,208,864

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Solution

The third proportional to 236,764,771,952 and 342,084,208,864 is: 494,252,607,722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,764,771,952 : 342,084,208,864 = 342,084,208,864 : x
  2. Step 2: Convert to fraction form
    236,764,771,952/342,084,208,864 = 342,084,208,864/x
  3. Step 3: Cross multiply
    236,764,771,952x = 342,084,208,864 × 342,084,208,864
  4. Step 4: Simplify right side
    236,764,771,952x = 117,021,605,954,108,774,154,240
  5. Step 5: Solve for x
    x = 117,021,605,954,108,774,154,240/236,764,771,952
  6. Step 6: Final answer
    x = 494,252,607,722.54

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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.