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Finding the Third Proportional to 151,048,296 and 233,244,984.75

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Solution

The third proportional to 151,048,296 and 233,244,984.75 is: 360,171,046.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,296 : 233,244,984.75 = 233,244,984.75 : x
  2. Step 2: Convert to fraction form
    151,048,296/233,244,984.75 = 233,244,984.75/x
  3. Step 3: Cross multiply
    151,048,296x = 233,244,984.75 × 233,244,984.75
  4. Step 4: Simplify right side
    151,048,296x = 54,403,222,911,027,736
  5. Step 5: Solve for x
    x = 54,403,222,911,027,736/151,048,296
  6. Step 6: Final answer
    x = 360,171,046.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.