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Finding the Third Proportional to 194,031,738 and 420,810,754

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Solution

The third proportional to 194,031,738 and 420,810,754 is: 912,642,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,031,738 : 420,810,754 = 420,810,754 : x
  2. Step 2: Convert to fraction form
    194,031,738/420,810,754 = 420,810,754/x
  3. Step 3: Cross multiply
    194,031,738x = 420,810,754 × 420,810,754
  4. Step 4: Simplify right side
    194,031,738x = 177,081,690,682,048,512
  5. Step 5: Solve for x
    x = 177,081,690,682,048,512/194,031,738
  6. Step 6: Final answer
    x = 912,642,913.51

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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.