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Finding the Third Proportional to 146,884,034 and 222,215,180

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Solution

The third proportional to 146,884,034 and 222,215,180 is: 336,180,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,884,034 : 222,215,180 = 222,215,180 : x
  2. Step 2: Convert to fraction form
    146,884,034/222,215,180 = 222,215,180/x
  3. Step 3: Cross multiply
    146,884,034x = 222,215,180 × 222,215,180
  4. Step 4: Simplify right side
    146,884,034x = 49,379,586,222,432,400
  5. Step 5: Solve for x
    x = 49,379,586,222,432,400/146,884,034
  6. Step 6: Final answer
    x = 336,180,760.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.