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Finding the Third Proportional to 83,515,220 and 127,768,880

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Solution

The third proportional to 83,515,220 and 127,768,880 is: 195,471,995.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,515,220 : 127,768,880 = 127,768,880 : x
  2. Step 2: Convert to fraction form
    83,515,220/127,768,880 = 127,768,880/x
  3. Step 3: Cross multiply
    83,515,220x = 127,768,880 × 127,768,880
  4. Step 4: Simplify right side
    83,515,220x = 16,324,886,696,454,400
  5. Step 5: Solve for x
    x = 16,324,886,696,454,400/83,515,220
  6. Step 6: Final answer
    x = 195,471,995.36

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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.