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Finding the Third Proportional to 95,472,960 and 146,834,064

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Solution

The third proportional to 95,472,960 and 146,834,064 is: 225,825,640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,472,960 : 146,834,064 = 146,834,064 : x
  2. Step 2: Convert to fraction form
    95,472,960/146,834,064 = 146,834,064/x
  3. Step 3: Cross multiply
    95,472,960x = 146,834,064 × 146,834,064
  4. Step 4: Simplify right side
    95,472,960x = 21,560,242,350,756,096
  5. Step 5: Solve for x
    x = 21,560,242,350,756,096/95,472,960
  6. Step 6: Final answer
    x = 225,825,640.59

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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.