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Finding the Third Proportional to 164,729,450 and 248,782,382

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Solution

The third proportional to 164,729,450 and 248,782,382 is: 375,723,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,729,450 : 248,782,382 = 248,782,382 : x
  2. Step 2: Convert to fraction form
    164,729,450/248,782,382 = 248,782,382/x
  3. Step 3: Cross multiply
    164,729,450x = 248,782,382 × 248,782,382
  4. Step 4: Simplify right side
    164,729,450x = 61,892,673,593,593,920
  5. Step 5: Solve for x
    x = 61,892,673,593,593,920/164,729,450
  6. Step 6: Final answer
    x = 375,723,184.86

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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.