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Finding the Third Proportional to 175,598,934 and 378,168,492

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Solution

The third proportional to 175,598,934 and 378,168,492 is: 814,420,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,598,934 : 378,168,492 = 378,168,492 : x
  2. Step 2: Convert to fraction form
    175,598,934/378,168,492 = 378,168,492/x
  3. Step 3: Cross multiply
    175,598,934x = 378,168,492 × 378,168,492
  4. Step 4: Simplify right side
    175,598,934x = 143,011,408,341,554,064
  5. Step 5: Solve for x
    x = 143,011,408,341,554,064/175,598,934
  6. Step 6: Final answer
    x = 814,420,709.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.