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Finding the Third Proportional to 211,155,984 and 441,618,024

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Solution

The third proportional to 211,155,984 and 441,618,024 is: 923,613,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,155,984 : 441,618,024 = 441,618,024 : x
  2. Step 2: Convert to fraction form
    211,155,984/441,618,024 = 441,618,024/x
  3. Step 3: Cross multiply
    211,155,984x = 441,618,024 × 441,618,024
  4. Step 4: Simplify right side
    211,155,984x = 195,026,479,121,664,576
  5. Step 5: Solve for x
    x = 195,026,479,121,664,576/211,155,984
  6. Step 6: Final answer
    x = 923,613,318.59

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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.