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Finding the Third Proportional to 105,150,756.75 and 230,090,310.38

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Solution

The third proportional to 105,150,756.75 and 230,090,310.38 is: 503,482,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,150,756.75 : 230,090,310.38 = 230,090,310.38 : x
  2. Step 2: Convert to fraction form
    105,150,756.75/230,090,310.38 = 230,090,310.38/x
  3. Step 3: Cross multiply
    105,150,756.75x = 230,090,310.38 × 230,090,310.38
  4. Step 4: Simplify right side
    105,150,756.75x = 52,941,550,928,463,832
  5. Step 5: Solve for x
    x = 52,941,550,928,463,832/105,150,756.75
  6. Step 6: Final answer
    x = 503,482,357.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.