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Finding the Third Proportional to 96,277.50 and 205,435

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Solution

The third proportional to 96,277.50 and 205,435 is: 438,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,277.50 : 205,435 = 205,435 : x
  2. Step 2: Convert to fraction form
    96,277.50/205,435 = 205,435/x
  3. Step 3: Cross multiply
    96,277.50x = 205,435 × 205,435
  4. Step 4: Simplify right side
    96,277.50x = 42,203,539,225
  5. Step 5: Solve for x
    x = 42,203,539,225/96,277.50
  6. Step 6: Final answer
    x = 438,353.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.