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Finding the Third Proportional to 106,597.69 and 231,987.38

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Solution

The third proportional to 106,597.69 and 231,987.38 is: 504,871.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,597.69 : 231,987.38 = 231,987.38 : x
  2. Step 2: Convert to fraction form
    106,597.69/231,987.38 = 231,987.38/x
  3. Step 3: Cross multiply
    106,597.69x = 231,987.38 × 231,987.38
  4. Step 4: Simplify right side
    106,597.69x = 53,818,142,159.39
  5. Step 5: Solve for x
    x = 53,818,142,159.39/106,597.69
  6. Step 6: Final answer
    x = 504,871.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.