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Finding the Third Proportional to 142,160,497.75 and 218,413,892.88

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Solution

The third proportional to 142,160,497.75 and 218,413,892.88 is: 335,568,806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,160,497.75 : 218,413,892.88 = 218,413,892.88 : x
  2. Step 2: Convert to fraction form
    142,160,497.75/218,413,892.88 = 218,413,892.88/x
  3. Step 3: Cross multiply
    142,160,497.75x = 218,413,892.88 × 218,413,892.88
  4. Step 4: Simplify right side
    142,160,497.75x = 47,704,628,600,811,976
  5. Step 5: Solve for x
    x = 47,704,628,600,811,976/142,160,497.75
  6. Step 6: Final answer
    x = 335,568,806.78

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