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Finding the Third Proportional to 80,685,090 and 121,107,456

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Solution

The third proportional to 80,685,090 and 121,107,456 is: 181,780,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,685,090 : 121,107,456 = 121,107,456 : x
  2. Step 2: Convert to fraction form
    80,685,090/121,107,456 = 121,107,456/x
  3. Step 3: Cross multiply
    80,685,090x = 121,107,456 × 121,107,456
  4. Step 4: Simplify right side
    80,685,090x = 14,667,015,898,791,936
  5. Step 5: Solve for x
    x = 14,667,015,898,791,936/80,685,090
  6. Step 6: Final answer
    x = 181,780,994.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.