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Finding the Third Proportional to 202,191.19 and 440,057.81

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Solution

The third proportional to 202,191.19 and 440,057.81 is: 957,761.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,191.19 : 440,057.81 = 440,057.81 : x
  2. Step 2: Convert to fraction form
    202,191.19/440,057.81 = 440,057.81/x
  3. Step 3: Cross multiply
    202,191.19x = 440,057.81 × 440,057.81
  4. Step 4: Simplify right side
    202,191.19x = 193,650,878,342.29
  5. Step 5: Solve for x
    x = 193,650,878,342.29/202,191.19
  6. Step 6: Final answer
    x = 957,761.22

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Why These Related Problems?

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