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Finding the Third Proportional to 178,035,659 and 379,587,398

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Solution

The third proportional to 178,035,659 and 379,587,398 is: 809,313,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,035,659 : 379,587,398 = 379,587,398 : x
  2. Step 2: Convert to fraction form
    178,035,659/379,587,398 = 379,587,398/x
  3. Step 3: Cross multiply
    178,035,659x = 379,587,398 × 379,587,398
  4. Step 4: Simplify right side
    178,035,659x = 144,086,592,720,410,400
  5. Step 5: Solve for x
    x = 144,086,592,720,410,400/178,035,659
  6. Step 6: Final answer
    x = 809,313,109.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.