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Finding the Third Proportional to 164,129,256 and 355,494,924

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Solution

The third proportional to 164,129,256 and 355,494,924 is: 769,982,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,129,256 : 355,494,924 = 355,494,924 : x
  2. Step 2: Convert to fraction form
    164,129,256/355,494,924 = 355,494,924/x
  3. Step 3: Cross multiply
    164,129,256x = 355,494,924 × 355,494,924
  4. Step 4: Simplify right side
    164,129,256x = 126,376,640,989,765,776
  5. Step 5: Solve for x
    x = 126,376,640,989,765,776/164,129,256
  6. Step 6: Final answer
    x = 769,982,415.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.