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Finding the Third Proportional to 129,590,338.50 and 285,595,314.75

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Solution

The third proportional to 129,590,338.50 and 285,595,314.75 is: 629,404,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,590,338.50 : 285,595,314.75 = 285,595,314.75 : x
  2. Step 2: Convert to fraction form
    129,590,338.50/285,595,314.75 = 285,595,314.75/x
  3. Step 3: Cross multiply
    129,590,338.50x = 285,595,314.75 × 285,595,314.75
  4. Step 4: Simplify right side
    129,590,338.50x = 81,564,683,807,151,568
  5. Step 5: Solve for x
    x = 81,564,683,807,151,568/129,590,338.50
  6. Step 6: Final answer
    x = 629,404,049.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.