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Finding the Third Proportional to 49,302,941 and 105,201,326

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Solution

The third proportional to 49,302,941 and 105,201,326 is: 224,475,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,302,941 : 105,201,326 = 105,201,326 : x
  2. Step 2: Convert to fraction form
    49,302,941/105,201,326 = 105,201,326/x
  3. Step 3: Cross multiply
    49,302,941x = 105,201,326 × 105,201,326
  4. Step 4: Simplify right side
    49,302,941x = 11,067,318,992,158,276
  5. Step 5: Solve for x
    x = 11,067,318,992,158,276/49,302,941
  6. Step 6: Final answer
    x = 224,475,837.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.