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Finding the Third Proportional to 146,884,030 and 222,215,174

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Solution

The third proportional to 146,884,030 and 222,215,174 is: 336,180,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,884,030 : 222,215,174 = 222,215,174 : x
  2. Step 2: Convert to fraction form
    146,884,030/222,215,174 = 222,215,174/x
  3. Step 3: Cross multiply
    146,884,030x = 222,215,174 × 222,215,174
  4. Step 4: Simplify right side
    146,884,030x = 49,379,583,555,850,272
  5. Step 5: Solve for x
    x = 49,379,583,555,850,272/146,884,030
  6. Step 6: Final answer
    x = 336,180,751.28

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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.