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Finding the Third Proportional to 233,265,512 and 501,148,192

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Solution

The third proportional to 233,265,512 and 501,148,192 is: 1,076,667,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,512 : 501,148,192 = 501,148,192 : x
  2. Step 2: Convert to fraction form
    233,265,512/501,148,192 = 501,148,192/x
  3. Step 3: Cross multiply
    233,265,512x = 501,148,192 × 501,148,192
  4. Step 4: Simplify right side
    233,265,512x = 251,149,510,344,868,864
  5. Step 5: Solve for x
    x = 251,149,510,344,868,864/233,265,512
  6. Step 6: Final answer
    x = 1,076,667,991.73

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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.