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Finding the Third Proportional to 254,702,273 and 382,322,993

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Solution

The third proportional to 254,702,273 and 382,322,993 is: 573,889,150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,702,273 : 382,322,993 = 382,322,993 : x
  2. Step 2: Convert to fraction form
    254,702,273/382,322,993 = 382,322,993/x
  3. Step 3: Cross multiply
    254,702,273x = 382,322,993 × 382,322,993
  4. Step 4: Simplify right side
    254,702,273x = 146,170,870,976,478,048
  5. Step 5: Solve for x
    x = 146,170,870,976,478,048/254,702,273
  6. Step 6: Final answer
    x = 573,889,150.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.