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Finding the Third Proportional to 96,381,980 and 146,832,822

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Solution

The third proportional to 96,381,980 and 146,832,822 is: 223,691,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,381,980 : 146,832,822 = 146,832,822 : x
  2. Step 2: Convert to fraction form
    96,381,980/146,832,822 = 146,832,822/x
  3. Step 3: Cross multiply
    96,381,980x = 146,832,822 × 146,832,822
  4. Step 4: Simplify right side
    96,381,980x = 21,559,877,616,483,684
  5. Step 5: Solve for x
    x = 21,559,877,616,483,684/96,381,980
  6. Step 6: Final answer
    x = 223,691,997.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.