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Finding the Third Proportional to 69,521,744 and 105,177,234

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Solution

The third proportional to 69,521,744 and 105,177,234 is: 159,119,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,521,744 : 105,177,234 = 105,177,234 : x
  2. Step 2: Convert to fraction form
    69,521,744/105,177,234 = 105,177,234/x
  3. Step 3: Cross multiply
    69,521,744x = 105,177,234 × 105,177,234
  4. Step 4: Simplify right side
    69,521,744x = 11,062,250,551,890,756
  5. Step 5: Solve for x
    x = 11,062,250,551,890,756/69,521,744
  6. Step 6: Final answer
    x = 159,119,290.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.