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Finding the Third Proportional to 96,180.75 and 210,812.63

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Solution

The third proportional to 96,180.75 and 210,812.63 is: 462,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,180.75 : 210,812.63 = 210,812.63 : x
  2. Step 2: Convert to fraction form
    96,180.75/210,812.63 = 210,812.63/x
  3. Step 3: Cross multiply
    96,180.75x = 210,812.63 × 210,812.63
  4. Step 4: Simplify right side
    96,180.75x = 44,441,962,859.39
  5. Step 5: Solve for x
    x = 44,441,962,859.39/96,180.75
  6. Step 6: Final answer
    x = 462,067.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.