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Finding the Third Proportional to 89,934,950 and 193,510,192

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Solution

The third proportional to 89,934,950 and 193,510,192 is: 416,369,769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,934,950 : 193,510,192 = 193,510,192 : x
  2. Step 2: Convert to fraction form
    89,934,950/193,510,192 = 193,510,192/x
  3. Step 3: Cross multiply
    89,934,950x = 193,510,192 × 193,510,192
  4. Step 4: Simplify right side
    89,934,950x = 37,446,194,407,876,864
  5. Step 5: Solve for x
    x = 37,446,194,407,876,864/89,934,950
  6. Step 6: Final answer
    x = 416,369,769.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.