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Finding the Third Proportional to 35,219.25 and 83,055.94

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Solution

The third proportional to 35,219.25 and 83,055.94 is: 195,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,219.25 : 83,055.94 = 83,055.94 : x
  2. Step 2: Convert to fraction form
    35,219.25/83,055.94 = 83,055.94/x
  3. Step 3: Cross multiply
    35,219.25x = 83,055.94 × 83,055.94
  4. Step 4: Simplify right side
    35,219.25x = 6,898,288,754.00
  5. Step 5: Solve for x
    x = 6,898,288,754.00/35,219.25
  6. Step 6: Final answer
    x = 195,867.00

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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.