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Finding the Third Proportional to 107,291,536 and 231,733,096

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Solution

The third proportional to 107,291,536 and 231,733,096 is: 500,507,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,291,536 : 231,733,096 = 231,733,096 : x
  2. Step 2: Convert to fraction form
    107,291,536/231,733,096 = 231,733,096/x
  3. Step 3: Cross multiply
    107,291,536x = 231,733,096 × 231,733,096
  4. Step 4: Simplify right side
    107,291,536x = 53,700,227,781,745,216
  5. Step 5: Solve for x
    x = 53,700,227,781,745,216/107,291,536
  6. Step 6: Final answer
    x = 500,507,586.93

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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.