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Finding the Third Proportional to 129,510,069.75 and 199,267,251.75

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Solution

The third proportional to 129,510,069.75 and 199,267,251.75 is: 306,597,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,510,069.75 : 199,267,251.75 = 199,267,251.75 : x
  2. Step 2: Convert to fraction form
    129,510,069.75/199,267,251.75 = 199,267,251.75/x
  3. Step 3: Cross multiply
    129,510,069.75x = 199,267,251.75 × 199,267,251.75
  4. Step 4: Simplify right side
    129,510,069.75x = 39,707,437,619,997,880
  5. Step 5: Solve for x
    x = 39,707,437,619,997,880/129,510,069.75
  6. Step 6: Final answer
    x = 306,597,299.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.