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Finding the Third Proportional to 197,698,780 and 411,759,872

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Solution

The third proportional to 197,698,780 and 411,759,872 is: 857,598,575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,698,780 : 411,759,872 = 411,759,872 : x
  2. Step 2: Convert to fraction form
    197,698,780/411,759,872 = 411,759,872/x
  3. Step 3: Cross multiply
    197,698,780x = 411,759,872 × 411,759,872
  4. Step 4: Simplify right side
    197,698,780x = 169,546,192,189,456,384
  5. Step 5: Solve for x
    x = 169,546,192,189,456,384/197,698,780
  6. Step 6: Final answer
    x = 857,598,575.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.