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Finding the Third Proportional to 204,926,380 and 442,572,512

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Solution

The third proportional to 204,926,380 and 442,572,512 is: 955,808,756.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,926,380 : 442,572,512 = 442,572,512 : x
  2. Step 2: Convert to fraction form
    204,926,380/442,572,512 = 442,572,512/x
  3. Step 3: Cross multiply
    204,926,380x = 442,572,512 × 442,572,512
  4. Step 4: Simplify right side
    204,926,380x = 195,870,428,377,990,144
  5. Step 5: Solve for x
    x = 195,870,428,377,990,144/204,926,380
  6. Step 6: Final answer
    x = 955,808,756.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.