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Finding the Third Proportional to 96,058.88 and 208,729.50

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Solution

The third proportional to 96,058.88 and 208,729.50 is: 453,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,058.88 : 208,729.50 = 208,729.50 : x
  2. Step 2: Convert to fraction form
    96,058.88/208,729.50 = 208,729.50/x
  3. Step 3: Cross multiply
    96,058.88x = 208,729.50 × 208,729.50
  4. Step 4: Simplify right side
    96,058.88x = 43,568,004,170.25
  5. Step 5: Solve for x
    x = 43,568,004,170.25/96,058.88
  6. Step 6: Final answer
    x = 453,555.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.