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Finding the Third Proportional to 213,013.13 and 459,241.31

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Solution

The third proportional to 213,013.13 and 459,241.31 is: 990,091.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,013.13 : 459,241.31 = 459,241.31 : x
  2. Step 2: Convert to fraction form
    213,013.13/459,241.31 = 459,241.31/x
  3. Step 3: Cross multiply
    213,013.13x = 459,241.31 × 459,241.31
  4. Step 4: Simplify right side
    213,013.13x = 210,902,583,106.72
  5. Step 5: Solve for x
    x = 210,902,583,106.72/213,013.13
  6. Step 6: Final answer
    x = 990,091.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.