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Finding the Third Proportional to 105,738,979.50 and 161,647,647

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Solution

The third proportional to 105,738,979.50 and 161,647,647 is: 247,117,589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,738,979.50 : 161,647,647 = 161,647,647 : x
  2. Step 2: Convert to fraction form
    105,738,979.50/161,647,647 = 161,647,647/x
  3. Step 3: Cross multiply
    105,738,979.50x = 161,647,647 × 161,647,647
  4. Step 4: Simplify right side
    105,738,979.50x = 26,129,961,780,636,608
  5. Step 5: Solve for x
    x = 26,129,961,780,636,608/105,738,979.50
  6. Step 6: Final answer
    x = 247,117,589.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.