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Finding the Third Proportional to 77,161,092 and 164,933,988

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Solution

The third proportional to 77,161,092 and 164,933,988 is: 352,551,003.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,161,092 : 164,933,988 = 164,933,988 : x
  2. Step 2: Convert to fraction form
    77,161,092/164,933,988 = 164,933,988/x
  3. Step 3: Cross multiply
    77,161,092x = 164,933,988 × 164,933,988
  4. Step 4: Simplify right side
    77,161,092x = 27,203,220,397,584,144
  5. Step 5: Solve for x
    x = 27,203,220,397,584,144/77,161,092
  6. Step 6: Final answer
    x = 352,551,003.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.