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Finding the Third Proportional to 52,051,203 and 113,062,806

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Solution

The third proportional to 52,051,203 and 113,062,806 is: 245,588,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,051,203 : 113,062,806 = 113,062,806 : x
  2. Step 2: Convert to fraction form
    52,051,203/113,062,806 = 113,062,806/x
  3. Step 3: Cross multiply
    52,051,203x = 113,062,806 × 113,062,806
  4. Step 4: Simplify right side
    52,051,203x = 12,783,198,100,593,636
  5. Step 5: Solve for x
    x = 12,783,198,100,593,636/52,051,203
  6. Step 6: Final answer
    x = 245,588,907.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.