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Finding the Third Proportional to 76,437,600 and 166,311,888

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Solution

The third proportional to 76,437,600 and 166,311,888 is: 361,859,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,437,600 : 166,311,888 = 166,311,888 : x
  2. Step 2: Convert to fraction form
    76,437,600/166,311,888 = 166,311,888/x
  3. Step 3: Cross multiply
    76,437,600x = 166,311,888 × 166,311,888
  4. Step 4: Simplify right side
    76,437,600x = 27,659,644,090,124,544
  5. Step 5: Solve for x
    x = 27,659,644,090,124,544/76,437,600
  6. Step 6: Final answer
    x = 361,859,138.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.