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Finding the Third Proportional to 95,195.25 and 209,075.06

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Solution

The third proportional to 95,195.25 and 209,075.06 is: 459,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,195.25 : 209,075.06 = 209,075.06 : x
  2. Step 2: Convert to fraction form
    95,195.25/209,075.06 = 209,075.06/x
  3. Step 3: Cross multiply
    95,195.25x = 209,075.06 × 209,075.06
  4. Step 4: Simplify right side
    95,195.25x = 43,712,381,759.38
  5. Step 5: Solve for x
    x = 43,712,381,759.38/95,195.25
  6. Step 6: Final answer
    x = 459,186.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.