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Finding the Third Proportional to 197,692,604 and 411,747,882

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Solution

The third proportional to 197,692,604 and 411,747,882 is: 857,575,422.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,692,604 : 411,747,882 = 411,747,882 : x
  2. Step 2: Convert to fraction form
    197,692,604/411,747,882 = 411,747,882/x
  3. Step 3: Cross multiply
    197,692,604x = 411,747,882 × 411,747,882
  4. Step 4: Simplify right side
    197,692,604x = 169,536,318,331,485,920
  5. Step 5: Solve for x
    x = 169,536,318,331,485,920/197,692,604
  6. Step 6: Final answer
    x = 857,575,422.15

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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.