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Finding the Third Proportional to 197,631,798 and 429,285,198

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Solution

The third proportional to 197,631,798 and 429,285,198 is: 932,470,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,631,798 : 429,285,198 = 429,285,198 : x
  2. Step 2: Convert to fraction form
    197,631,798/429,285,198 = 429,285,198/x
  3. Step 3: Cross multiply
    197,631,798x = 429,285,198 × 429,285,198
  4. Step 4: Simplify right side
    197,631,798x = 184,285,781,221,899,200
  5. Step 5: Solve for x
    x = 184,285,781,221,899,200/197,631,798
  6. Step 6: Final answer
    x = 932,470,296.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.