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Finding the Third Proportional to 96,210 and 211,009

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Solution

The third proportional to 96,210 and 211,009 is: 462,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,210 : 211,009 = 211,009 : x
  2. Step 2: Convert to fraction form
    96,210/211,009 = 211,009/x
  3. Step 3: Cross multiply
    96,210x = 211,009 × 211,009
  4. Step 4: Simplify right side
    96,210x = 44,524,798,081
  5. Step 5: Solve for x
    x = 44,524,798,081/96,210
  6. Step 6: Final answer
    x = 462,787.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.