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Finding the Third Proportional to 135,370,136.84 and 296,691,617.21

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Solution

The third proportional to 135,370,136.84 and 296,691,617.21 is: 650,260,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,370,136.84 : 296,691,617.21 = 296,691,617.21 : x
  2. Step 2: Convert to fraction form
    135,370,136.84/296,691,617.21 = 296,691,617.21/x
  3. Step 3: Cross multiply
    135,370,136.84x = 296,691,617.21 × 296,691,617.21
  4. Step 4: Simplify right side
    135,370,136.84x = 88,025,915,720,359,120
  5. Step 5: Solve for x
    x = 88,025,915,720,359,120/135,370,136.84
  6. Step 6: Final answer
    x = 650,260,964.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.