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Finding the Third Proportional to 146,135,668 and 321,198,056

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Solution

The third proportional to 146,135,668 and 321,198,056 is: 705,975,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,135,668 : 321,198,056 = 321,198,056 : x
  2. Step 2: Convert to fraction form
    146,135,668/321,198,056 = 321,198,056/x
  3. Step 3: Cross multiply
    146,135,668x = 321,198,056 × 321,198,056
  4. Step 4: Simplify right side
    146,135,668x = 103,168,191,178,179,136
  5. Step 5: Solve for x
    x = 103,168,191,178,179,136/146,135,668
  6. Step 6: Final answer
    x = 705,975,430.85

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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.