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Finding the Third Proportional to 175,092,162 and 268,572,663

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Solution

The third proportional to 175,092,162 and 268,572,663 is: 411,961,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,092,162 : 268,572,663 = 268,572,663 : x
  2. Step 2: Convert to fraction form
    175,092,162/268,572,663 = 268,572,663/x
  3. Step 3: Cross multiply
    175,092,162x = 268,572,663 × 268,572,663
  4. Step 4: Simplify right side
    175,092,162x = 72,131,275,310,911,568
  5. Step 5: Solve for x
    x = 72,131,275,310,911,568/175,092,162
  6. Step 6: Final answer
    x = 411,961,760.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.