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Finding the Third Proportional to 111,135,997,964 and 238,405,201,944

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Solution

The third proportional to 111,135,997,964 and 238,405,201,944 is: 511,418,814,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,135,997,964 : 238,405,201,944 = 238,405,201,944 : x
  2. Step 2: Convert to fraction form
    111,135,997,964/238,405,201,944 = 238,405,201,944/x
  3. Step 3: Cross multiply
    111,135,997,964x = 238,405,201,944 × 238,405,201,944
  4. Step 4: Simplify right side
    111,135,997,964x = 56,837,040,313,959,425,507,328
  5. Step 5: Solve for x
    x = 56,837,040,313,959,425,507,328/111,135,997,964
  6. Step 6: Final answer
    x = 511,418,814,382.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.