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Finding the Third Proportional to 99,766,092,357 and 206,603,954,391

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Solution

The third proportional to 99,766,092,357 and 206,603,954,391 is: 427,852,719,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,766,092,357 : 206,603,954,391 = 206,603,954,391 : x
  2. Step 2: Convert to fraction form
    99,766,092,357/206,603,954,391 = 206,603,954,391/x
  3. Step 3: Cross multiply
    99,766,092,357x = 206,603,954,391 × 206,603,954,391
  4. Step 4: Simplify right side
    99,766,092,357x = 42,685,193,969,998,407,663,616
  5. Step 5: Solve for x
    x = 42,685,193,969,998,407,663,616/99,766,092,357
  6. Step 6: Final answer
    x = 427,852,719,912.64

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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.