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Finding the Third Proportional to 94,392,450 and 205,942,644

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Solution

The third proportional to 94,392,450 and 205,942,644 is: 449,319,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,392,450 : 205,942,644 = 205,942,644 : x
  2. Step 2: Convert to fraction form
    94,392,450/205,942,644 = 205,942,644/x
  3. Step 3: Cross multiply
    94,392,450x = 205,942,644 × 205,942,644
  4. Step 4: Simplify right side
    94,392,450x = 42,412,372,617,710,736
  5. Step 5: Solve for x
    x = 42,412,372,617,710,736/94,392,450
  6. Step 6: Final answer
    x = 449,319,544.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.