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Finding the Third Proportional to 201,766,439,685 and 444,659,305,671

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Solution

The third proportional to 201,766,439,685 and 444,659,305,671 is: 979,954,339,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,766,439,685 : 444,659,305,671 = 444,659,305,671 : x
  2. Step 2: Convert to fraction form
    201,766,439,685/444,659,305,671 = 444,659,305,671/x
  3. Step 3: Cross multiply
    201,766,439,685x = 444,659,305,671 × 444,659,305,671
  4. Step 4: Simplify right side
    201,766,439,685x = 197,721,898,119,815,829,127,168
  5. Step 5: Solve for x
    x = 197,721,898,119,815,829,127,168/201,766,439,685
  6. Step 6: Final answer
    x = 979,954,339,425.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.