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Finding the Third Proportional to 205,325,622 and 456,558,768

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Solution

The third proportional to 205,325,622 and 456,558,768 is: 1,015,196,771.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,325,622 : 456,558,768 = 456,558,768 : x
  2. Step 2: Convert to fraction form
    205,325,622/456,558,768 = 456,558,768/x
  3. Step 3: Cross multiply
    205,325,622x = 456,558,768 × 456,558,768
  4. Step 4: Simplify right side
    205,325,622x = 208,445,908,637,677,824
  5. Step 5: Solve for x
    x = 208,445,908,637,677,824/205,325,622
  6. Step 6: Final answer
    x = 1,015,196,771.88

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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.