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Finding the Third Proportional to 100,176,188 and 151,052,611

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Solution

The third proportional to 100,176,188 and 151,052,611 is: 227,767,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176,188 : 151,052,611 = 151,052,611 : x
  2. Step 2: Convert to fraction form
    100,176,188/151,052,611 = 151,052,611/x
  3. Step 3: Cross multiply
    100,176,188x = 151,052,611 × 151,052,611
  4. Step 4: Simplify right side
    100,176,188x = 22,816,891,289,917,320
  5. Step 5: Solve for x
    x = 22,816,891,289,917,320/100,176,188
  6. Step 6: Final answer
    x = 227,767,613.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.