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Finding the Third Proportional to 245,422,452 and 545,325,204

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Solution

The third proportional to 245,422,452 and 545,325,204 is: 1,211,704,861.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,422,452 : 545,325,204 = 545,325,204 : x
  2. Step 2: Convert to fraction form
    245,422,452/545,325,204 = 545,325,204/x
  3. Step 3: Cross multiply
    245,422,452x = 545,325,204 × 545,325,204
  4. Step 4: Simplify right side
    245,422,452x = 297,379,578,117,641,600
  5. Step 5: Solve for x
    x = 297,379,578,117,641,600/245,422,452
  6. Step 6: Final answer
    x = 1,211,704,861.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.