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Finding the Third Proportional to 106,952.91 and 232,378.88

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Solution

The third proportional to 106,952.91 and 232,378.88 is: 504,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,952.91 : 232,378.88 = 232,378.88 : x
  2. Step 2: Convert to fraction form
    106,952.91/232,378.88 = 232,378.88/x
  3. Step 3: Cross multiply
    106,952.91x = 232,378.88 × 232,378.88
  4. Step 4: Simplify right side
    106,952.91x = 53,999,941,546.27
  5. Step 5: Solve for x
    x = 53,999,941,546.27/106,952.91
  6. Step 6: Final answer
    x = 504,894.57

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.