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Finding the Third Proportional to 83,515,232 and 127,768,980

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Solution

The third proportional to 83,515,232 and 127,768,980 is: 195,472,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,515,232 : 127,768,980 = 127,768,980 : x
  2. Step 2: Convert to fraction form
    83,515,232/127,768,980 = 127,768,980/x
  3. Step 3: Cross multiply
    83,515,232x = 127,768,980 × 127,768,980
  4. Step 4: Simplify right side
    83,515,232x = 16,324,912,250,240,400
  5. Step 5: Solve for x
    x = 16,324,912,250,240,400/83,515,232
  6. Step 6: Final answer
    x = 195,472,273.25

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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.