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Finding the Third Proportional to 168,999,480 and 360,321,945.75

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Solution

The third proportional to 168,999,480 and 360,321,945.75 is: 768,238,485.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,999,480 : 360,321,945.75 = 360,321,945.75 : x
  2. Step 2: Convert to fraction form
    168,999,480/360,321,945.75 = 360,321,945.75/x
  3. Step 3: Cross multiply
    168,999,480x = 360,321,945.75 × 360,321,945.75
  4. Step 4: Simplify right side
    168,999,480x = 129,831,904,589,065,936
  5. Step 5: Solve for x
    x = 129,831,904,589,065,936/168,999,480
  6. Step 6: Final answer
    x = 768,238,485.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.