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Finding the Third Proportional to 82,250,049.38 and 127,767,765.38

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Solution

The third proportional to 82,250,049.38 and 127,767,765.38 is: 198,475,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,250,049.38 : 127,767,765.38 = 127,767,765.38 : x
  2. Step 2: Convert to fraction form
    82,250,049.38/127,767,765.38 = 127,767,765.38/x
  3. Step 3: Cross multiply
    82,250,049.38x = 127,767,765.38 × 127,767,765.38
  4. Step 4: Simplify right side
    82,250,049.38x = 16,324,601,868,921,048
  5. Step 5: Solve for x
    x = 16,324,601,868,921,048/82,250,049.38
  6. Step 6: Final answer
    x = 198,475,283.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.