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Finding the Third Proportional to 231,892,776 and 505,452,288

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Solution

The third proportional to 231,892,776 and 505,452,288 is: 1,101,724,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,892,776 : 505,452,288 = 505,452,288 : x
  2. Step 2: Convert to fraction form
    231,892,776/505,452,288 = 505,452,288/x
  3. Step 3: Cross multiply
    231,892,776x = 505,452,288 × 505,452,288
  4. Step 4: Simplify right side
    231,892,776x = 255,482,015,444,434,944
  5. Step 5: Solve for x
    x = 255,482,015,444,434,944/231,892,776
  6. Step 6: Final answer
    x = 1,101,724,770.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.