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Finding the Third Proportional to 51,523,256.25 and 111,117,544.75

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Solution

The third proportional to 51,523,256.25 and 111,117,544.75 is: 239,641,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,523,256.25 : 111,117,544.75 = 111,117,544.75 : x
  2. Step 2: Convert to fraction form
    51,523,256.25/111,117,544.75 = 111,117,544.75/x
  3. Step 3: Cross multiply
    51,523,256.25x = 111,117,544.75 × 111,117,544.75
  4. Step 4: Simplify right side
    51,523,256.25x = 12,347,108,751,268,252
  5. Step 5: Solve for x
    x = 12,347,108,751,268,252/51,523,256.25
  6. Step 6: Final answer
    x = 239,641,467.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.