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Finding the Third Proportional to 104,844,810 and 164,112,112

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Solution

The third proportional to 104,844,810 and 164,112,112 is: 256,882,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,844,810 : 164,112,112 = 164,112,112 : x
  2. Step 2: Convert to fraction form
    104,844,810/164,112,112 = 164,112,112/x
  3. Step 3: Cross multiply
    104,844,810x = 164,112,112 × 164,112,112
  4. Step 4: Simplify right side
    104,844,810x = 26,932,785,305,100,544
  5. Step 5: Solve for x
    x = 26,932,785,305,100,544/104,844,810
  6. Step 6: Final answer
    x = 256,882,389.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.