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Finding the Third Proportional to 96,776.75 and 208,862.50

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Solution

The third proportional to 96,776.75 and 208,862.50 is: 450,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,776.75 : 208,862.50 = 208,862.50 : x
  2. Step 2: Convert to fraction form
    96,776.75/208,862.50 = 208,862.50/x
  3. Step 3: Cross multiply
    96,776.75x = 208,862.50 × 208,862.50
  4. Step 4: Simplify right side
    96,776.75x = 43,623,543,906.25
  5. Step 5: Solve for x
    x = 43,623,543,906.25/96,776.75
  6. Step 6: Final answer
    x = 450,764.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.