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Finding the Third Proportional to 159,733,378 and 233,609,667

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Solution

The third proportional to 159,733,378 and 233,609,667 is: 341,653,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,733,378 : 233,609,667 = 233,609,667 : x
  2. Step 2: Convert to fraction form
    159,733,378/233,609,667 = 233,609,667/x
  3. Step 3: Cross multiply
    159,733,378x = 233,609,667 × 233,609,667
  4. Step 4: Simplify right side
    159,733,378x = 54,573,476,515,850,888
  5. Step 5: Solve for x
    x = 54,573,476,515,850,888/159,733,378
  6. Step 6: Final answer
    x = 341,653,555.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.