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Finding the Third Proportional to 204,671,304 and 445,203,024

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Solution

The third proportional to 204,671,304 and 445,203,024 is: 968,409,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,671,304 : 445,203,024 = 445,203,024 : x
  2. Step 2: Convert to fraction form
    204,671,304/445,203,024 = 445,203,024/x
  3. Step 3: Cross multiply
    204,671,304x = 445,203,024 × 445,203,024
  4. Step 4: Simplify right side
    204,671,304x = 198,205,732,578,744,576
  5. Step 5: Solve for x
    x = 198,205,732,578,744,576/204,671,304
  6. Step 6: Final answer
    x = 968,409,975.92

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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.