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Finding the Third Proportional to 213,277,266 and 441,677,988

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Solution

The third proportional to 213,277,266 and 441,677,988 is: 914,675,289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,277,266 : 441,677,988 = 441,677,988 : x
  2. Step 2: Convert to fraction form
    213,277,266/441,677,988 = 441,677,988/x
  3. Step 3: Cross multiply
    213,277,266x = 441,677,988 × 441,677,988
  4. Step 4: Simplify right side
    213,277,266x = 195,079,445,083,728,128
  5. Step 5: Solve for x
    x = 195,079,445,083,728,128/213,277,266
  6. Step 6: Final answer
    x = 914,675,289.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.