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Finding the Third Proportional to 201,398,524 and 440,236,969

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Solution

The third proportional to 201,398,524 and 440,236,969 is: 962,313,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,398,524 : 440,236,969 = 440,236,969 : x
  2. Step 2: Convert to fraction form
    201,398,524/440,236,969 = 440,236,969/x
  3. Step 3: Cross multiply
    201,398,524x = 440,236,969 × 440,236,969
  4. Step 4: Simplify right side
    201,398,524x = 193,808,588,874,306,976
  5. Step 5: Solve for x
    x = 193,808,588,874,306,976/201,398,524
  6. Step 6: Final answer
    x = 962,313,849.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.