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Finding the Third Proportional to 106,197,085 and 231,083,138

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Solution

The third proportional to 106,197,085 and 231,083,138 is: 502,833,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,197,085 : 231,083,138 = 231,083,138 : x
  2. Step 2: Convert to fraction form
    106,197,085/231,083,138 = 231,083,138/x
  3. Step 3: Cross multiply
    106,197,085x = 231,083,138 × 231,083,138
  4. Step 4: Simplify right side
    106,197,085x = 53,399,416,667,927,040
  5. Step 5: Solve for x
    x = 53,399,416,667,927,040/106,197,085
  6. Step 6: Final answer
    x = 502,833,167.86

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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.