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Finding the Third Proportional to 158,110,268 and 342,612,156

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Solution

The third proportional to 158,110,268 and 342,612,156 is: 742,412,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,110,268 : 342,612,156 = 342,612,156 : x
  2. Step 2: Convert to fraction form
    158,110,268/342,612,156 = 342,612,156/x
  3. Step 3: Cross multiply
    158,110,268x = 342,612,156 × 342,612,156
  4. Step 4: Simplify right side
    158,110,268x = 117,383,089,438,968,336
  5. Step 5: Solve for x
    x = 117,383,089,438,968,336/158,110,268
  6. Step 6: Final answer
    x = 742,412,816.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.