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Finding the Third Proportional to 96,350,790,792 and 208,712,101,136

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Solution

The third proportional to 96,350,790,792 and 208,712,101,136 is: 452,105,694,229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,350,790,792 : 208,712,101,136 = 208,712,101,136 : x
  2. Step 2: Convert to fraction form
    96,350,790,792/208,712,101,136 = 208,712,101,136/x
  3. Step 3: Cross multiply
    96,350,790,792x = 208,712,101,136 × 208,712,101,136
  4. Step 4: Simplify right side
    96,350,790,792x = 43,560,741,160,603,889,958,912
  5. Step 5: Solve for x
    x = 43,560,741,160,603,889,958,912/96,350,790,792
  6. Step 6: Final answer
    x = 452,105,694,229.76

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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.