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Finding the Third Proportional to 199,108.13 and 433,203.19

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Solution

The third proportional to 199,108.13 and 433,203.19 is: 942,528.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,108.13 : 433,203.19 = 433,203.19 : x
  2. Step 2: Convert to fraction form
    199,108.13/433,203.19 = 433,203.19/x
  3. Step 3: Cross multiply
    199,108.13x = 433,203.19 × 433,203.19
  4. Step 4: Simplify right side
    199,108.13x = 187,665,001,660.16
  5. Step 5: Solve for x
    x = 187,665,001,660.16/199,108.13
  6. Step 6: Final answer
    x = 942,528.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.