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Finding the Third Proportional to 150,956,318 and 329,240,024

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Solution

The third proportional to 150,956,318 and 329,240,024 is: 718,081,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,956,318 : 329,240,024 = 329,240,024 : x
  2. Step 2: Convert to fraction form
    150,956,318/329,240,024 = 329,240,024/x
  3. Step 3: Cross multiply
    150,956,318x = 329,240,024 × 329,240,024
  4. Step 4: Simplify right side
    150,956,318x = 108,398,993,403,520,576
  5. Step 5: Solve for x
    x = 108,398,993,403,520,576/150,956,318
  6. Step 6: Final answer
    x = 718,081,858.64

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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.