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Finding the Third Proportional to 96,093,866 and 148,917,936

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Solution

The third proportional to 96,093,866 and 148,917,936 is: 230,780,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,093,866 : 148,917,936 = 148,917,936 : x
  2. Step 2: Convert to fraction form
    96,093,866/148,917,936 = 148,917,936/x
  3. Step 3: Cross multiply
    96,093,866x = 148,917,936 × 148,917,936
  4. Step 4: Simplify right side
    96,093,866x = 22,176,551,662,500,096
  5. Step 5: Solve for x
    x = 22,176,551,662,500,096/96,093,866
  6. Step 6: Final answer
    x = 230,780,096.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.