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Finding the Third Proportional to 146,191,002 and 325,060,968

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Solution

The third proportional to 146,191,002 and 325,060,968 is: 722,784,791.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,191,002 : 325,060,968 = 325,060,968 : x
  2. Step 2: Convert to fraction form
    146,191,002/325,060,968 = 325,060,968/x
  3. Step 3: Cross multiply
    146,191,002x = 325,060,968 × 325,060,968
  4. Step 4: Simplify right side
    146,191,002x = 105,664,632,917,097,024
  5. Step 5: Solve for x
    x = 105,664,632,917,097,024/146,191,002
  6. Step 6: Final answer
    x = 722,784,791.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.