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Finding the Third Proportional to 206,153,648 and 441,817,576

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Solution

The third proportional to 206,153,648 and 441,817,576 is: 946,880,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,153,648 : 441,817,576 = 441,817,576 : x
  2. Step 2: Convert to fraction form
    206,153,648/441,817,576 = 441,817,576/x
  3. Step 3: Cross multiply
    206,153,648x = 441,817,576 × 441,817,576
  4. Step 4: Simplify right side
    206,153,648x = 195,202,770,462,515,776
  5. Step 5: Solve for x
    x = 195,202,770,462,515,776/206,153,648
  6. Step 6: Final answer
    x = 946,880,020.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.