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Finding the Third Proportional to 95,988.80 and 209,473.59

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Solution

The third proportional to 95,988.80 and 209,473.59 is: 457,128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,988.80 : 209,473.59 = 209,473.59 : x
  2. Step 2: Convert to fraction form
    95,988.80/209,473.59 = 209,473.59/x
  3. Step 3: Cross multiply
    95,988.80x = 209,473.59 × 209,473.59
  4. Step 4: Simplify right side
    95,988.80x = 43,879,186,478.54
  5. Step 5: Solve for x
    x = 43,879,186,478.54/95,988.80
  6. Step 6: Final answer
    x = 457,128.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.