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Finding the Third Proportional to 50,100,092 and 106,761,196

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Solution

The third proportional to 50,100,092 and 106,761,196 is: 227,503,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100,092 : 106,761,196 = 106,761,196 : x
  2. Step 2: Convert to fraction form
    50,100,092/106,761,196 = 106,761,196/x
  3. Step 3: Cross multiply
    50,100,092x = 106,761,196 × 106,761,196
  4. Step 4: Simplify right side
    50,100,092x = 11,397,952,971,350,416
  5. Step 5: Solve for x
    x = 11,397,952,971,350,416/50,100,092
  6. Step 6: Final answer
    x = 227,503,633.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.