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Finding the Third Proportional to 119,338,041 and 178,272,100

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Solution

The third proportional to 119,338,041 and 178,272,100 is: 266,310,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,338,041 : 178,272,100 = 178,272,100 : x
  2. Step 2: Convert to fraction form
    119,338,041/178,272,100 = 178,272,100/x
  3. Step 3: Cross multiply
    119,338,041x = 178,272,100 × 178,272,100
  4. Step 4: Simplify right side
    119,338,041x = 31,780,941,638,410,000
  5. Step 5: Solve for x
    x = 31,780,941,638,410,000/119,338,041
  6. Step 6: Final answer
    x = 266,310,234.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.