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Finding the Third Proportional to 167,000,270 and 345,456,022

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Solution

The third proportional to 167,000,270 and 345,456,022 is: 714,608,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,000,270 : 345,456,022 = 345,456,022 : x
  2. Step 2: Convert to fraction form
    167,000,270/345,456,022 = 345,456,022/x
  3. Step 3: Cross multiply
    167,000,270x = 345,456,022 × 345,456,022
  4. Step 4: Simplify right side
    167,000,270x = 119,339,863,136,064,480
  5. Step 5: Solve for x
    x = 119,339,863,136,064,480/167,000,270
  6. Step 6: Final answer
    x = 714,608,803.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.