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Finding the Third Proportional to 74,119,976 and 114,906,602

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Solution

The third proportional to 74,119,976 and 114,906,602 is: 178,137,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,119,976 : 114,906,602 = 114,906,602 : x
  2. Step 2: Convert to fraction form
    74,119,976/114,906,602 = 114,906,602/x
  3. Step 3: Cross multiply
    74,119,976x = 114,906,602 × 114,906,602
  4. Step 4: Simplify right side
    74,119,976x = 13,203,527,183,186,404
  5. Step 5: Solve for x
    x = 13,203,527,183,186,404/74,119,976
  6. Step 6: Final answer
    x = 178,137,229.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.