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Finding the Third Proportional to 199,811,122,703 and 431,468,673,041

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Solution

The third proportional to 199,811,122,703 and 431,468,673,041 is: 931,705,969,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,811,122,703 : 431,468,673,041 = 431,468,673,041 : x
  2. Step 2: Convert to fraction form
    199,811,122,703/431,468,673,041 = 431,468,673,041/x
  3. Step 3: Cross multiply
    199,811,122,703x = 431,468,673,041 × 431,468,673,041
  4. Step 4: Simplify right side
    199,811,122,703x = 186,165,215,815,761,351,671,808
  5. Step 5: Solve for x
    x = 186,165,215,815,761,351,671,808/199,811,122,703
  6. Step 6: Final answer
    x = 931,705,969,604.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.