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Finding the Third Proportional to 106,357,546 and 231,349,972

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Solution

The third proportional to 106,357,546 and 231,349,972 is: 503,234,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357,546 : 231,349,972 = 231,349,972 : x
  2. Step 2: Convert to fraction form
    106,357,546/231,349,972 = 231,349,972/x
  3. Step 3: Cross multiply
    106,357,546x = 231,349,972 × 231,349,972
  4. Step 4: Simplify right side
    106,357,546x = 53,522,809,544,400,784
  5. Step 5: Solve for x
    x = 53,522,809,544,400,784/106,357,546
  6. Step 6: Final answer
    x = 503,234,716.83

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