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Finding the Third Proportional to 92,119,999,923 and 141,532,198,600.50

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Solution

The third proportional to 92,119,999,923 and 141,532,198,600.50 is: 217,448,580,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,119,999,923 : 141,532,198,600.50 = 141,532,198,600.50 : x
  2. Step 2: Convert to fraction form
    92,119,999,923/141,532,198,600.50 = 141,532,198,600.50/x
  3. Step 3: Cross multiply
    92,119,999,923x = 141,532,198,600.50 × 141,532,198,600.50
  4. Step 4: Simplify right side
    92,119,999,923x = 20,031,363,240,691,375,276,032
  5. Step 5: Solve for x
    x = 20,031,363,240,691,375,276,032/92,119,999,923
  6. Step 6: Final answer
    x = 217,448,580,736.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.