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Finding the Third Proportional to 50,073,920 and 106,762,058

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Solution

The third proportional to 50,073,920 and 106,762,058 is: 227,626,217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,073,920 : 106,762,058 = 106,762,058 : x
  2. Step 2: Convert to fraction form
    50,073,920/106,762,058 = 106,762,058/x
  3. Step 3: Cross multiply
    50,073,920x = 106,762,058 × 106,762,058
  4. Step 4: Simplify right side
    50,073,920x = 11,398,137,028,395,364
  5. Step 5: Solve for x
    x = 11,398,137,028,395,364/50,073,920
  6. Step 6: Final answer
    x = 227,626,217.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.