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Finding the Third Proportional to 149,305,471.41 and 231,819,107.06

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Solution

The third proportional to 149,305,471.41 and 231,819,107.06 is: 359,933,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,305,471.41 : 231,819,107.06 = 231,819,107.06 : x
  2. Step 2: Convert to fraction form
    149,305,471.41/231,819,107.06 = 231,819,107.06/x
  3. Step 3: Cross multiply
    149,305,471.41x = 231,819,107.06 × 231,819,107.06
  4. Step 4: Simplify right side
    149,305,471.41x = 53,740,098,399,254,840
  5. Step 5: Solve for x
    x = 53,740,098,399,254,840/149,305,471.41
  6. Step 6: Final answer
    x = 359,933,885.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.