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Finding the Third Proportional to 99,766,092,353.50 and 206,603,954,385

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Solution

The third proportional to 99,766,092,353.50 and 206,603,954,385 is: 427,852,719,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,766,092,353.50 : 206,603,954,385 = 206,603,954,385 : x
  2. Step 2: Convert to fraction form
    99,766,092,353.50/206,603,954,385 = 206,603,954,385/x
  3. Step 3: Cross multiply
    99,766,092,353.50x = 206,603,954,385 × 206,603,954,385
  4. Step 4: Simplify right side
    99,766,092,353.50x = 42,685,193,967,519,162,957,824
  5. Step 5: Solve for x
    x = 42,685,193,967,519,162,957,824/99,766,092,353.50
  6. Step 6: Final answer
    x = 427,852,719,902.80

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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.