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Finding the Third Proportional to 83,459,750 and 127,667,976

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Solution

The third proportional to 83,459,750 and 127,667,976 is: 195,293,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,459,750 : 127,667,976 = 127,667,976 : x
  2. Step 2: Convert to fraction form
    83,459,750/127,667,976 = 127,667,976/x
  3. Step 3: Cross multiply
    83,459,750x = 127,667,976 × 127,667,976
  4. Step 4: Simplify right side
    83,459,750x = 16,299,112,095,936,576
  5. Step 5: Solve for x
    x = 16,299,112,095,936,576/83,459,750
  6. Step 6: Final answer
    x = 195,293,085.54

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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.