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Finding the Third Proportional to 121,200,147 and 188,052,648.75

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Solution

The third proportional to 121,200,147 and 188,052,648.75 is: 291,780,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,200,147 : 188,052,648.75 = 188,052,648.75 : x
  2. Step 2: Convert to fraction form
    121,200,147/188,052,648.75 = 188,052,648.75/x
  3. Step 3: Cross multiply
    121,200,147x = 188,052,648.75 × 188,052,648.75
  4. Step 4: Simplify right side
    121,200,147x = 35,363,798,701,890,876
  5. Step 5: Solve for x
    x = 35,363,798,701,890,876/121,200,147
  6. Step 6: Final answer
    x = 291,780,163.45

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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.