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Finding the Third Proportional to 175,062,474 and 405,238,470

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Solution

The third proportional to 175,062,474 and 405,238,470 is: 938,054,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,062,474 : 405,238,470 = 405,238,470 : x
  2. Step 2: Convert to fraction form
    175,062,474/405,238,470 = 405,238,470/x
  3. Step 3: Cross multiply
    175,062,474x = 405,238,470 × 405,238,470
  4. Step 4: Simplify right side
    175,062,474x = 164,218,217,567,940,896
  5. Step 5: Solve for x
    x = 164,218,217,567,940,896/175,062,474
  6. Step 6: Final answer
    x = 938,054,934.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.