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Finding the Third Proportional to 35,216.25 and 83,048.81

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Solution

The third proportional to 35,216.25 and 83,048.81 is: 195,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,216.25 : 83,048.81 = 83,048.81 : x
  2. Step 2: Convert to fraction form
    35,216.25/83,048.81 = 83,048.81/x
  3. Step 3: Cross multiply
    35,216.25x = 83,048.81 × 83,048.81
  4. Step 4: Simplify right side
    35,216.25x = 6,897,105,257.66
  5. Step 5: Solve for x
    x = 6,897,105,257.66/35,216.25
  6. Step 6: Final answer
    x = 195,850.08

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.