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Finding the Third Proportional to 35,303,690.25 and 82,440,114.75

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Solution

The third proportional to 35,303,690.25 and 82,440,114.75 is: 192,511,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,303,690.25 : 82,440,114.75 = 82,440,114.75 : x
  2. Step 2: Convert to fraction form
    35,303,690.25/82,440,114.75 = 82,440,114.75/x
  3. Step 3: Cross multiply
    35,303,690.25x = 82,440,114.75 × 82,440,114.75
  4. Step 4: Simplify right side
    35,303,690.25x = 6,796,372,519,993,168
  5. Step 5: Solve for x
    x = 6,796,372,519,993,168/35,303,690.25
  6. Step 6: Final answer
    x = 192,511,674.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.