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Finding the Third Proportional to 74,119,950 and 114,906,567

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Solution

The third proportional to 74,119,950 and 114,906,567 is: 178,137,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,119,950 : 114,906,567 = 114,906,567 : x
  2. Step 2: Convert to fraction form
    74,119,950/114,906,567 = 114,906,567/x
  3. Step 3: Cross multiply
    74,119,950x = 114,906,567 × 114,906,567
  4. Step 4: Simplify right side
    74,119,950x = 13,203,519,139,725,488
  5. Step 5: Solve for x
    x = 13,203,519,139,725,488/74,119,950
  6. Step 6: Final answer
    x = 178,137,183.58

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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.