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Finding the Third Proportional to 84,422,765 and 126,137,151

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Solution

The third proportional to 84,422,765 and 126,137,151 is: 188,463,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,422,765 : 126,137,151 = 126,137,151 : x
  2. Step 2: Convert to fraction form
    84,422,765/126,137,151 = 126,137,151/x
  3. Step 3: Cross multiply
    84,422,765x = 126,137,151 × 126,137,151
  4. Step 4: Simplify right side
    84,422,765x = 15,910,580,862,396,800
  5. Step 5: Solve for x
    x = 15,910,580,862,396,800/84,422,765
  6. Step 6: Final answer
    x = 188,463,157.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.