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Finding the Third Proportional to 99,766,092,351.75 and 206,603,954,382.38

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Solution

The third proportional to 99,766,092,351.75 and 206,603,954,382.38 is: 427,852,719,899.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,766,092,351.75 : 206,603,954,382.38 = 206,603,954,382.38 : x
  2. Step 2: Convert to fraction form
    99,766,092,351.75/206,603,954,382.38 = 206,603,954,382.38/x
  3. Step 3: Cross multiply
    99,766,092,351.75x = 206,603,954,382.38 × 206,603,954,382.38
  4. Step 4: Simplify right side
    99,766,092,351.75x = 42,685,193,966,436,554,375,168
  5. Step 5: Solve for x
    x = 42,685,193,966,436,554,375,168/99,766,092,351.75
  6. Step 6: Final answer
    x = 427,852,719,899.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.