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Finding the Third Proportional to 76,757,328 and 166,269,240

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Solution

The third proportional to 76,757,328 and 166,269,240 is: 360,167,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,757,328 : 166,269,240 = 166,269,240 : x
  2. Step 2: Convert to fraction form
    76,757,328/166,269,240 = 166,269,240/x
  3. Step 3: Cross multiply
    76,757,328x = 166,269,240 × 166,269,240
  4. Step 4: Simplify right side
    76,757,328x = 27,645,460,170,177,600
  5. Step 5: Solve for x
    x = 27,645,460,170,177,600/76,757,328
  6. Step 6: Final answer
    x = 360,167,047.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.