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Finding the Third Proportional to 138,380,382 and 194,649,432

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Solution

The third proportional to 138,380,382 and 194,649,432 is: 273,798,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,380,382 : 194,649,432 = 194,649,432 : x
  2. Step 2: Convert to fraction form
    138,380,382/194,649,432 = 194,649,432/x
  3. Step 3: Cross multiply
    138,380,382x = 194,649,432 × 194,649,432
  4. Step 4: Simplify right side
    138,380,382x = 37,888,401,377,922,624
  5. Step 5: Solve for x
    x = 37,888,401,377,922,624/138,380,382
  6. Step 6: Final answer
    x = 273,798,936.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.