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Finding the Third Proportional to 91,467,151,962 and 198,129,789,876

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Solution

The third proportional to 91,467,151,962 and 198,129,789,876 is: 429,174,985,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,467,151,962 : 198,129,789,876 = 198,129,789,876 : x
  2. Step 2: Convert to fraction form
    91,467,151,962/198,129,789,876 = 198,129,789,876/x
  3. Step 3: Cross multiply
    91,467,151,962x = 198,129,789,876 × 198,129,789,876
  4. Step 4: Simplify right side
    91,467,151,962x = 39,255,413,636,307,915,636,736
  5. Step 5: Solve for x
    x = 39,255,413,636,307,915,636,736/91,467,151,962
  6. Step 6: Final answer
    x = 429,174,985,710.90

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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.