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Finding the Third Proportional to 197,692,597 and 411,747,869

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Solution

The third proportional to 197,692,597 and 411,747,869 is: 857,575,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,692,597 : 411,747,869 = 411,747,869 : x
  2. Step 2: Convert to fraction form
    197,692,597/411,747,869 = 411,747,869/x
  3. Step 3: Cross multiply
    197,692,597x = 411,747,869 × 411,747,869
  4. Step 4: Simplify right side
    197,692,597x = 169,536,307,626,041,152
  5. Step 5: Solve for x
    x = 169,536,307,626,041,152/197,692,597
  6. Step 6: Final answer
    x = 857,575,398.36

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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.