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Finding the Third Proportional to 120,923,460.56 and 246,922,457.06

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Solution

The third proportional to 120,923,460.56 and 246,922,457.06 is: 504,209,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,923,460.56 : 246,922,457.06 = 246,922,457.06 : x
  2. Step 2: Convert to fraction form
    120,923,460.56/246,922,457.06 = 246,922,457.06/x
  3. Step 3: Cross multiply
    120,923,460.56x = 246,922,457.06 × 246,922,457.06
  4. Step 4: Simplify right side
    120,923,460.56x = 60,970,699,801,782,160
  5. Step 5: Solve for x
    x = 60,970,699,801,782,160/120,923,460.56
  6. Step 6: Final answer
    x = 504,209,022.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.