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Finding the Third Proportional to 86,296.13 and 188,281.13

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Solution

The third proportional to 86,296.13 and 188,281.13 is: 410,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,296.13 : 188,281.13 = 188,281.13 : x
  2. Step 2: Convert to fraction form
    86,296.13/188,281.13 = 188,281.13/x
  3. Step 3: Cross multiply
    86,296.13x = 188,281.13 × 188,281.13
  4. Step 4: Simplify right side
    86,296.13x = 35,449,782,031.27
  5. Step 5: Solve for x
    x = 35,449,782,031.27/86,296.13
  6. Step 6: Final answer
    x = 410,792.28

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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.