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Finding the Third Proportional to 80,632,107 and 124,512,646

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Solution

The third proportional to 80,632,107 and 124,512,646 is: 192,273,271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,632,107 : 124,512,646 = 124,512,646 : x
  2. Step 2: Convert to fraction form
    80,632,107/124,512,646 = 124,512,646/x
  3. Step 3: Cross multiply
    80,632,107x = 124,512,646 × 124,512,646
  4. Step 4: Simplify right side
    80,632,107x = 15,503,399,013,921,316
  5. Step 5: Solve for x
    x = 15,503,399,013,921,316/80,632,107
  6. Step 6: Final answer
    x = 192,273,271.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.