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Finding the Third Proportional to 212,862,544 and 459,787,424

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Solution

The third proportional to 212,862,544 and 459,787,424 is: 993,150,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,862,544 : 459,787,424 = 459,787,424 : x
  2. Step 2: Convert to fraction form
    212,862,544/459,787,424 = 459,787,424/x
  3. Step 3: Cross multiply
    212,862,544x = 459,787,424 × 459,787,424
  4. Step 4: Simplify right side
    212,862,544x = 211,404,475,268,555,776
  5. Step 5: Solve for x
    x = 211,404,475,268,555,776/212,862,544
  6. Step 6: Final answer
    x = 993,150,186.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.