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Finding the Third Proportional to 39,085.03 and 84,366.56

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Solution

The third proportional to 39,085.03 and 84,366.56 is: 182,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,085.03 : 84,366.56 = 84,366.56 : x
  2. Step 2: Convert to fraction form
    39,085.03/84,366.56 = 84,366.56/x
  3. Step 3: Cross multiply
    39,085.03x = 84,366.56 × 84,366.56
  4. Step 4: Simplify right side
    39,085.03x = 7,117,716,868.07
  5. Step 5: Solve for x
    x = 7,117,716,868.07/39,085.03
  6. Step 6: Final answer
    x = 182,108.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.