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Finding the Third Proportional to 188,105,289.19 and 393,361,995.94

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Solution

The third proportional to 188,105,289.19 and 393,361,995.94 is: 822,590,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,105,289.19 : 393,361,995.94 = 393,361,995.94 : x
  2. Step 2: Convert to fraction form
    188,105,289.19/393,361,995.94 = 393,361,995.94/x
  3. Step 3: Cross multiply
    188,105,289.19x = 393,361,995.94 × 393,361,995.94
  4. Step 4: Simplify right side
    188,105,289.19x = 154,733,659,847,933,760
  5. Step 5: Solve for x
    x = 154,733,659,847,933,760/188,105,289.19
  6. Step 6: Final answer
    x = 822,590,691.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.