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Finding the Third Proportional to 82,805,469.75 and 129,908,736.56

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Solution

The third proportional to 82,805,469.75 and 129,908,736.56 is: 203,806,341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,805,469.75 : 129,908,736.56 = 129,908,736.56 : x
  2. Step 2: Convert to fraction form
    82,805,469.75/129,908,736.56 = 129,908,736.56/x
  3. Step 3: Cross multiply
    82,805,469.75x = 129,908,736.56 × 129,908,736.56
  4. Step 4: Simplify right side
    82,805,469.75x = 16,876,279,835,265,024
  5. Step 5: Solve for x
    x = 16,876,279,835,265,024/82,805,469.75
  6. Step 6: Final answer
    x = 203,806,341.37

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.