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Finding the Third Proportional to 164,053,969 and 356,273,640

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Solution

The third proportional to 164,053,969 and 356,273,640 is: 773,714,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,053,969 : 356,273,640 = 356,273,640 : x
  2. Step 2: Convert to fraction form
    164,053,969/356,273,640 = 356,273,640/x
  3. Step 3: Cross multiply
    164,053,969x = 356,273,640 × 356,273,640
  4. Step 4: Simplify right side
    164,053,969x = 126,930,906,558,849,600
  5. Step 5: Solve for x
    x = 126,930,906,558,849,600/164,053,969
  6. Step 6: Final answer
    x = 773,714,329.09

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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.