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Finding the Third Proportional to 106,131,107 and 230,953,774

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Solution

The third proportional to 106,131,107 and 230,953,774 is: 502,582,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,131,107 : 230,953,774 = 230,953,774 : x
  2. Step 2: Convert to fraction form
    106,131,107/230,953,774 = 230,953,774/x
  3. Step 3: Cross multiply
    106,131,107x = 230,953,774 × 230,953,774
  4. Step 4: Simplify right side
    106,131,107x = 53,339,645,724,843,072
  5. Step 5: Solve for x
    x = 53,339,645,724,843,072/106,131,107
  6. Step 6: Final answer
    x = 502,582,581.42

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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.