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Finding the Third Proportional to 96,357 and 211,935.75

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Solution

The third proportional to 96,357 and 211,935.75 is: 466,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,357 : 211,935.75 = 211,935.75 : x
  2. Step 2: Convert to fraction form
    96,357/211,935.75 = 211,935.75/x
  3. Step 3: Cross multiply
    96,357x = 211,935.75 × 211,935.75
  4. Step 4: Simplify right side
    96,357x = 44,916,762,128.06
  5. Step 5: Solve for x
    x = 44,916,762,128.06/96,357
  6. Step 6: Final answer
    x = 466,149.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.