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Finding the Third Proportional to 120,830,786 and 178,981,150

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Solution

The third proportional to 120,830,786 and 178,981,150 is: 265,116,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,830,786 : 178,981,150 = 178,981,150 : x
  2. Step 2: Convert to fraction form
    120,830,786/178,981,150 = 178,981,150/x
  3. Step 3: Cross multiply
    120,830,786x = 178,981,150 × 178,981,150
  4. Step 4: Simplify right side
    120,830,786x = 32,034,252,055,322,500
  5. Step 5: Solve for x
    x = 32,034,252,055,322,500/120,830,786
  6. Step 6: Final answer
    x = 265,116,640.52

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.