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Finding the Third Proportional to 175,675,752 and 381,593,096

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Solution

The third proportional to 175,675,752 and 381,593,096 is: 828,875,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,675,752 : 381,593,096 = 381,593,096 : x
  2. Step 2: Convert to fraction form
    175,675,752/381,593,096 = 381,593,096/x
  3. Step 3: Cross multiply
    175,675,752x = 381,593,096 × 381,593,096
  4. Step 4: Simplify right side
    175,675,752x = 145,613,290,914,865,216
  5. Step 5: Solve for x
    x = 145,613,290,914,865,216/175,675,752
  6. Step 6: Final answer
    x = 828,875,295.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.