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Finding the Third Proportional to 138,050,008 and 219,770,824

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Solution

The third proportional to 138,050,008 and 219,770,824 is: 349,867,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,050,008 : 219,770,824 = 219,770,824 : x
  2. Step 2: Convert to fraction form
    138,050,008/219,770,824 = 219,770,824/x
  3. Step 3: Cross multiply
    138,050,008x = 219,770,824 × 219,770,824
  4. Step 4: Simplify right side
    138,050,008x = 48,299,215,081,638,976
  5. Step 5: Solve for x
    x = 48,299,215,081,638,976/138,050,008
  6. Step 6: Final answer
    x = 349,867,528.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.