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Finding the Third Proportional to 94,796.50 and 207,449

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Solution

The third proportional to 94,796.50 and 207,449 is: 453,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,796.50 : 207,449 = 207,449 : x
  2. Step 2: Convert to fraction form
    94,796.50/207,449 = 207,449/x
  3. Step 3: Cross multiply
    94,796.50x = 207,449 × 207,449
  4. Step 4: Simplify right side
    94,796.50x = 43,035,087,601
  5. Step 5: Solve for x
    x = 43,035,087,601/94,796.50
  6. Step 6: Final answer
    x = 453,973.38

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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.