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Finding the Third Proportional to 82,156,530 and 127,945,833

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Solution

The third proportional to 82,156,530 and 127,945,833 is: 199,255,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,156,530 : 127,945,833 = 127,945,833 : x
  2. Step 2: Convert to fraction form
    82,156,530/127,945,833 = 127,945,833/x
  3. Step 3: Cross multiply
    82,156,530x = 127,945,833 × 127,945,833
  4. Step 4: Simplify right side
    82,156,530x = 16,370,136,182,063,888
  5. Step 5: Solve for x
    x = 16,370,136,182,063,888/82,156,530
  6. Step 6: Final answer
    x = 199,255,447.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.