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Finding the Third Proportional to 194,595,616 and 423,062,624

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Solution

The third proportional to 194,595,616 and 423,062,624 is: 919,763,700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,595,616 : 423,062,624 = 423,062,624 : x
  2. Step 2: Convert to fraction form
    194,595,616/423,062,624 = 423,062,624/x
  3. Step 3: Cross multiply
    194,595,616x = 423,062,624 × 423,062,624
  4. Step 4: Simplify right side
    194,595,616x = 178,981,983,825,765,376
  5. Step 5: Solve for x
    x = 178,981,983,825,765,376/194,595,616
  6. Step 6: Final answer
    x = 919,763,700.26

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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.