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Finding the Third Proportional to 106,525.13 and 195,189.75

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Solution

The third proportional to 106,525.13 and 195,189.75 is: 357,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525.13 : 195,189.75 = 195,189.75 : x
  2. Step 2: Convert to fraction form
    106,525.13/195,189.75 = 195,189.75/x
  3. Step 3: Cross multiply
    106,525.13x = 195,189.75 × 195,189.75
  4. Step 4: Simplify right side
    106,525.13x = 38,099,038,505.06
  5. Step 5: Solve for x
    x = 38,099,038,505.06/106,525.13
  6. Step 6: Final answer
    x = 357,653.07

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.