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Finding the Third Proportional to 209,463,162 and 440,633,028

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Solution

The third proportional to 209,463,162 and 440,633,028 is: 926,928,933.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,463,162 : 440,633,028 = 440,633,028 : x
  2. Step 2: Convert to fraction form
    209,463,162/440,633,028 = 440,633,028/x
  3. Step 3: Cross multiply
    209,463,162x = 440,633,028 × 440,633,028
  4. Step 4: Simplify right side
    209,463,162x = 194,157,465,364,448,768
  5. Step 5: Solve for x
    x = 194,157,465,364,448,768/209,463,162
  6. Step 6: Final answer
    x = 926,928,933.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.