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Finding the Third Proportional to 199,632.09 and 432,960.19

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Solution

The third proportional to 199,632.09 and 432,960.19 is: 938,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,632.09 : 432,960.19 = 432,960.19 : x
  2. Step 2: Convert to fraction form
    199,632.09/432,960.19 = 432,960.19/x
  3. Step 3: Cross multiply
    199,632.09x = 432,960.19 × 432,960.19
  4. Step 4: Simplify right side
    199,632.09x = 187,454,523,960.04
  5. Step 5: Solve for x
    x = 187,454,523,960.04/199,632.09
  6. Step 6: Final answer
    x = 938,999.94

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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.