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Finding the Third Proportional to 106,131,105 and 230,953,770

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Solution

The third proportional to 106,131,105 and 230,953,770 is: 502,582,573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,131,105 : 230,953,770 = 230,953,770 : x
  2. Step 2: Convert to fraction form
    106,131,105/230,953,770 = 230,953,770/x
  3. Step 3: Cross multiply
    106,131,105x = 230,953,770 × 230,953,770
  4. Step 4: Simplify right side
    106,131,105x = 53,339,643,877,212,896
  5. Step 5: Solve for x
    x = 53,339,643,877,212,896/106,131,105
  6. Step 6: Final answer
    x = 502,582,573.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.