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Finding the Third Proportional to 216,955.50 and 467,212.13

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Solution

The third proportional to 216,955.50 and 467,212.13 is: 1,006,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,955.50 : 467,212.13 = 467,212.13 : x
  2. Step 2: Convert to fraction form
    216,955.50/467,212.13 = 467,212.13/x
  3. Step 3: Cross multiply
    216,955.50x = 467,212.13 × 467,212.13
  4. Step 4: Simplify right side
    216,955.50x = 218,287,169,747.02
  5. Step 5: Solve for x
    x = 218,287,169,747.02/216,955.50
  6. Step 6: Final answer
    x = 1,006,137.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.