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Finding the Third Proportional to 129,566,736 and 198,680,649

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Solution

The third proportional to 129,566,736 and 198,680,649 is: 304,661,532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,566,736 : 198,680,649 = 198,680,649 : x
  2. Step 2: Convert to fraction form
    129,566,736/198,680,649 = 198,680,649/x
  3. Step 3: Cross multiply
    129,566,736x = 198,680,649 × 198,680,649
  4. Step 4: Simplify right side
    129,566,736x = 39,474,000,287,061,200
  5. Step 5: Solve for x
    x = 39,474,000,287,061,200/129,566,736
  6. Step 6: Final answer
    x = 304,661,532.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.