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Finding the Third Proportional to 138,562,814 and 193,718,980

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Solution

The third proportional to 138,562,814 and 193,718,980 is: 270,830,550.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,562,814 : 193,718,980 = 193,718,980 : x
  2. Step 2: Convert to fraction form
    138,562,814/193,718,980 = 193,718,980/x
  3. Step 3: Cross multiply
    138,562,814x = 193,718,980 × 193,718,980
  4. Step 4: Simplify right side
    138,562,814x = 37,527,043,212,240,400
  5. Step 5: Solve for x
    x = 37,527,043,212,240,400/138,562,814
  6. Step 6: Final answer
    x = 270,830,550.63

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.