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Finding the Third Proportional to 211,477,951.41 and 323,295,282.28

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Solution

The third proportional to 211,477,951.41 and 323,295,282.28 is: 494,235,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,477,951.41 : 323,295,282.28 = 323,295,282.28 : x
  2. Step 2: Convert to fraction form
    211,477,951.41/323,295,282.28 = 323,295,282.28/x
  3. Step 3: Cross multiply
    211,477,951.41x = 323,295,282.28 × 323,295,282.28
  4. Step 4: Simplify right side
    211,477,951.41x = 104,519,839,545,313,120
  5. Step 5: Solve for x
    x = 104,519,839,545,313,120/211,477,951.41
  6. Step 6: Final answer
    x = 494,235,161.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.