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Finding the Third Proportional to 80,148,112 and 121,751,416

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Solution

The third proportional to 80,148,112 and 121,751,416 is: 184,950,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,148,112 : 121,751,416 = 121,751,416 : x
  2. Step 2: Convert to fraction form
    80,148,112/121,751,416 = 121,751,416/x
  3. Step 3: Cross multiply
    80,148,112x = 121,751,416 × 121,751,416
  4. Step 4: Simplify right side
    80,148,112x = 14,823,407,298,005,056
  5. Step 5: Solve for x
    x = 14,823,407,298,005,056/80,148,112
  6. Step 6: Final answer
    x = 184,950,174.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.