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Finding the Third Proportional to 165,543,523.50 and 351,257,991

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Solution

The third proportional to 165,543,523.50 and 351,257,991 is: 745,315,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,543,523.50 : 351,257,991 = 351,257,991 : x
  2. Step 2: Convert to fraction form
    165,543,523.50/351,257,991 = 351,257,991/x
  3. Step 3: Cross multiply
    165,543,523.50x = 351,257,991 × 351,257,991
  4. Step 4: Simplify right side
    165,543,523.50x = 123,382,176,241,356,080
  5. Step 5: Solve for x
    x = 123,382,176,241,356,080/165,543,523.50
  6. Step 6: Final answer
    x = 745,315,634.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.