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Finding the Third Proportional to 107,146,634 and 232,559,086

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Solution

The third proportional to 107,146,634 and 232,559,086 is: 504,763,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,146,634 : 232,559,086 = 232,559,086 : x
  2. Step 2: Convert to fraction form
    107,146,634/232,559,086 = 232,559,086/x
  3. Step 3: Cross multiply
    107,146,634x = 232,559,086 × 232,559,086
  4. Step 4: Simplify right side
    107,146,634x = 54,083,728,481,155,392
  5. Step 5: Solve for x
    x = 54,083,728,481,155,392/107,146,634
  6. Step 6: Final answer
    x = 504,763,672.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.