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Finding the Third Proportional to 213,769.13 and 453,772.13

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Solution

The third proportional to 213,769.13 and 453,772.13 is: 963,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,769.13 : 453,772.13 = 453,772.13 : x
  2. Step 2: Convert to fraction form
    213,769.13/453,772.13 = 453,772.13/x
  3. Step 3: Cross multiply
    213,769.13x = 453,772.13 × 453,772.13
  4. Step 4: Simplify right side
    213,769.13x = 205,909,141,427.02
  5. Step 5: Solve for x
    x = 205,909,141,427.02/213,769.13
  6. Step 6: Final answer
    x = 963,231.44

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.