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Finding the Third Proportional to 205,325,500 and 456,558,548

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Solution

The third proportional to 205,325,500 and 456,558,548 is: 1,015,196,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,325,500 : 456,558,548 = 456,558,548 : x
  2. Step 2: Convert to fraction form
    205,325,500/456,558,548 = 456,558,548/x
  3. Step 3: Cross multiply
    205,325,500x = 456,558,548 × 456,558,548
  4. Step 4: Simplify right side
    205,325,500x = 208,445,707,751,868,288
  5. Step 5: Solve for x
    x = 208,445,707,751,868,288/205,325,500
  6. Step 6: Final answer
    x = 1,015,196,396.71

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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.