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Finding the Third Proportional to 87,297.75 and 190,587.94

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Solution

The third proportional to 87,297.75 and 190,587.94 is: 416,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,297.75 : 190,587.94 = 190,587.94 : x
  2. Step 2: Convert to fraction form
    87,297.75/190,587.94 = 190,587.94/x
  3. Step 3: Cross multiply
    87,297.75x = 190,587.94 × 190,587.94
  4. Step 4: Simplify right side
    87,297.75x = 36,323,761,920.50
  5. Step 5: Solve for x
    x = 36,323,761,920.50/87,297.75
  6. Step 6: Final answer
    x = 416,090.47

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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.