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Finding the Third Proportional to 49,450,608 and 100,298,682

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Solution

The third proportional to 49,450,608 and 100,298,682 is: 203,431,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,450,608 : 100,298,682 = 100,298,682 : x
  2. Step 2: Convert to fraction form
    49,450,608/100,298,682 = 100,298,682/x
  3. Step 3: Cross multiply
    49,450,608x = 100,298,682 × 100,298,682
  4. Step 4: Simplify right side
    49,450,608x = 10,059,825,610,937,124
  5. Step 5: Solve for x
    x = 10,059,825,610,937,124/49,450,608
  6. Step 6: Final answer
    x = 203,431,788.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.