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Finding the Third Proportional to 96,350,790,033 and 208,712,099,682

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Solution

The third proportional to 96,350,790,033 and 208,712,099,682 is: 452,105,691,491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,350,790,033 : 208,712,099,682 = 208,712,099,682 : x
  2. Step 2: Convert to fraction form
    96,350,790,033/208,712,099,682 = 208,712,099,682/x
  3. Step 3: Cross multiply
    96,350,790,033x = 208,712,099,682 × 208,712,099,682
  4. Step 4: Simplify right side
    96,350,790,033x = 43,560,740,553,669,100,961,792
  5. Step 5: Solve for x
    x = 43,560,740,553,669,100,961,792/96,350,790,033
  6. Step 6: Final answer
    x = 452,105,691,491.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.