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Finding the Third Proportional to 52,928,099 and 113,965,834

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Solution

The third proportional to 52,928,099 and 113,965,834 is: 245,393,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,928,099 : 113,965,834 = 113,965,834 : x
  2. Step 2: Convert to fraction form
    52,928,099/113,965,834 = 113,965,834/x
  3. Step 3: Cross multiply
    52,928,099x = 113,965,834 × 113,965,834
  4. Step 4: Simplify right side
    52,928,099x = 12,988,211,319,315,556
  5. Step 5: Solve for x
    x = 12,988,211,319,315,556/52,928,099
  6. Step 6: Final answer
    x = 245,393,497.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.