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Finding the Third Proportional to 96,237 and 211,063

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Solution

The third proportional to 96,237 and 211,063 is: 462,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,237 : 211,063 = 211,063 : x
  2. Step 2: Convert to fraction form
    96,237/211,063 = 211,063/x
  3. Step 3: Cross multiply
    96,237x = 211,063 × 211,063
  4. Step 4: Simplify right side
    96,237x = 44,547,589,969
  5. Step 5: Solve for x
    x = 44,547,589,969/96,237
  6. Step 6: Final answer
    x = 462,894.62

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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.