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Finding the Third Proportional to 238,521,906 and 504,545,064

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Solution

The third proportional to 238,521,906 and 504,545,064 is: 1,067,263,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,521,906 : 504,545,064 = 504,545,064 : x
  2. Step 2: Convert to fraction form
    238,521,906/504,545,064 = 504,545,064/x
  3. Step 3: Cross multiply
    238,521,906x = 504,545,064 × 504,545,064
  4. Step 4: Simplify right side
    238,521,906x = 254,565,721,606,764,096
  5. Step 5: Solve for x
    x = 254,565,721,606,764,096/238,521,906
  6. Step 6: Final answer
    x = 1,067,263,489.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.