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Finding the Third Proportional to 110,806,880 and 165,590,144

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Solution

The third proportional to 110,806,880 and 165,590,144 is: 247,458,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,806,880 : 165,590,144 = 165,590,144 : x
  2. Step 2: Convert to fraction form
    110,806,880/165,590,144 = 165,590,144/x
  3. Step 3: Cross multiply
    110,806,880x = 165,590,144 × 165,590,144
  4. Step 4: Simplify right side
    110,806,880x = 27,420,095,789,940,736
  5. Step 5: Solve for x
    x = 27,420,095,789,940,736/110,806,880
  6. Step 6: Final answer
    x = 247,458,423.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.