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Finding the Third Proportional to 233,265,496.50 and 501,148,163.25

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Solution

The third proportional to 233,265,496.50 and 501,148,163.25 is: 1,076,667,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,496.50 : 501,148,163.25 = 501,148,163.25 : x
  2. Step 2: Convert to fraction form
    233,265,496.50/501,148,163.25 = 501,148,163.25/x
  3. Step 3: Cross multiply
    233,265,496.50x = 501,148,163.25 × 501,148,163.25
  4. Step 4: Simplify right side
    233,265,496.50x = 251,149,481,528,848,640
  5. Step 5: Solve for x
    x = 251,149,481,528,848,640/233,265,496.50
  6. Step 6: Final answer
    x = 1,076,667,939.74

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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.