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Finding the Third Proportional to 117,960,589 and 176,940,906

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Solution

The third proportional to 117,960,589 and 176,940,906 is: 265,411,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,960,589 : 176,940,906 = 176,940,906 : x
  2. Step 2: Convert to fraction form
    117,960,589/176,940,906 = 176,940,906/x
  3. Step 3: Cross multiply
    117,960,589x = 176,940,906 × 176,940,906
  4. Step 4: Simplify right side
    117,960,589x = 31,308,084,216,100,836
  5. Step 5: Solve for x
    x = 31,308,084,216,100,836/117,960,589
  6. Step 6: Final answer
    x = 265,411,392.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.