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Finding the Third Proportional to 106,217.75 and 229,860.75

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Solution

The third proportional to 106,217.75 and 229,860.75 is: 497,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,217.75 : 229,860.75 = 229,860.75 : x
  2. Step 2: Convert to fraction form
    106,217.75/229,860.75 = 229,860.75/x
  3. Step 3: Cross multiply
    106,217.75x = 229,860.75 × 229,860.75
  4. Step 4: Simplify right side
    106,217.75x = 52,835,964,390.56
  5. Step 5: Solve for x
    x = 52,835,964,390.56/106,217.75
  6. Step 6: Final answer
    x = 497,430.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.