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Finding the Third Proportional to 181,544,896 and 393,336,704

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Solution

The third proportional to 181,544,896 and 393,336,704 is: 852,206,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,544,896 : 393,336,704 = 393,336,704 : x
  2. Step 2: Convert to fraction form
    181,544,896/393,336,704 = 393,336,704/x
  3. Step 3: Cross multiply
    181,544,896x = 393,336,704 × 393,336,704
  4. Step 4: Simplify right side
    181,544,896x = 154,713,762,713,583,616
  5. Step 5: Solve for x
    x = 154,713,762,713,583,616/181,544,896
  6. Step 6: Final answer
    x = 852,206,622.84

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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.