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Finding the Third Proportional to 233,265,268.13 and 501,147,783

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Solution

The third proportional to 233,265,268.13 and 501,147,783 is: 1,076,667,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,268.13 : 501,147,783 = 501,147,783 : x
  2. Step 2: Convert to fraction form
    233,265,268.13/501,147,783 = 501,147,783/x
  3. Step 3: Cross multiply
    233,265,268.13x = 501,147,783 × 501,147,783
  4. Step 4: Simplify right side
    233,265,268.13x = 251,149,100,405,815,104
  5. Step 5: Solve for x
    x = 251,149,100,405,815,104/233,265,268.13
  6. Step 6: Final answer
    x = 1,076,667,359.97

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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.