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Finding the Third Proportional to 202,098.56 and 441,390.56

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Solution

The third proportional to 202,098.56 and 441,390.56 is: 964,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,098.56 : 441,390.56 = 441,390.56 : x
  2. Step 2: Convert to fraction form
    202,098.56/441,390.56 = 441,390.56/x
  3. Step 3: Cross multiply
    202,098.56x = 441,390.56 × 441,390.56
  4. Step 4: Simplify right side
    202,098.56x = 194,825,628,664.07
  5. Step 5: Solve for x
    x = 194,825,628,664.07/202,098.56
  6. Step 6: Final answer
    x = 964,012.94

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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.