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Finding the Third Proportional to 168,071,152 and 365,590,016

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Solution

The third proportional to 168,071,152 and 365,590,016 is: 795,234,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,071,152 : 365,590,016 = 365,590,016 : x
  2. Step 2: Convert to fraction form
    168,071,152/365,590,016 = 365,590,016/x
  3. Step 3: Cross multiply
    168,071,152x = 365,590,016 × 365,590,016
  4. Step 4: Simplify right side
    168,071,152x = 133,656,059,798,880,256
  5. Step 5: Solve for x
    x = 133,656,059,798,880,256/168,071,152
  6. Step 6: Final answer
    x = 795,234,983.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.