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Finding the Third Proportional to 107,147,376 and 232,560,600

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Solution

The third proportional to 107,147,376 and 232,560,600 is: 504,766,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,147,376 : 232,560,600 = 232,560,600 : x
  2. Step 2: Convert to fraction form
    107,147,376/232,560,600 = 232,560,600/x
  3. Step 3: Cross multiply
    107,147,376x = 232,560,600 × 232,560,600
  4. Step 4: Simplify right side
    107,147,376x = 54,084,432,672,360,000
  5. Step 5: Solve for x
    x = 54,084,432,672,360,000/107,147,376
  6. Step 6: Final answer
    x = 504,766,749.23

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