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Finding the Third Proportional to 96,936.75 and 211,875.75

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Solution

The third proportional to 96,936.75 and 211,875.75 is: 463,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,936.75 : 211,875.75 = 211,875.75 : x
  2. Step 2: Convert to fraction form
    96,936.75/211,875.75 = 211,875.75/x
  3. Step 3: Cross multiply
    96,936.75x = 211,875.75 × 211,875.75
  4. Step 4: Simplify right side
    96,936.75x = 44,891,333,438.06
  5. Step 5: Solve for x
    x = 44,891,333,438.06/96,936.75
  6. Step 6: Final answer
    x = 463,099.22

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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.