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Finding the Third Proportional to 96,581.25 and 209,791.13

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Solution

The third proportional to 96,581.25 and 209,791.13 is: 455,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,581.25 : 209,791.13 = 209,791.13 : x
  2. Step 2: Convert to fraction form
    96,581.25/209,791.13 = 209,791.13/x
  3. Step 3: Cross multiply
    96,581.25x = 209,791.13 × 209,791.13
  4. Step 4: Simplify right side
    96,581.25x = 44,012,316,128.77
  5. Step 5: Solve for x
    x = 44,012,316,128.77/96,581.25
  6. Step 6: Final answer
    x = 455,702.49

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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.