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Finding the Third Proportional to 80,095,266 and 120,356,151.75

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Solution

The third proportional to 80,095,266 and 120,356,151.75 is: 180,854,674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,095,266 : 120,356,151.75 = 120,356,151.75 : x
  2. Step 2: Convert to fraction form
    80,095,266/120,356,151.75 = 120,356,151.75/x
  3. Step 3: Cross multiply
    80,095,266x = 120,356,151.75 × 120,356,151.75
  4. Step 4: Simplify right side
    80,095,266x = 14,485,603,264,069,028
  5. Step 5: Solve for x
    x = 14,485,603,264,069,028/80,095,266
  6. Step 6: Final answer
    x = 180,854,674.53

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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.