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Finding the Third Proportional to 76,956,204 and 169,303,380

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Solution

The third proportional to 76,956,204 and 169,303,380 is: 372,466,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,956,204 : 169,303,380 = 169,303,380 : x
  2. Step 2: Convert to fraction form
    76,956,204/169,303,380 = 169,303,380/x
  3. Step 3: Cross multiply
    76,956,204x = 169,303,380 × 169,303,380
  4. Step 4: Simplify right side
    76,956,204x = 28,663,634,479,424,400
  5. Step 5: Solve for x
    x = 28,663,634,479,424,400/76,956,204
  6. Step 6: Final answer
    x = 372,466,844.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.