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Finding the Third Proportional to 87,531 and 190,904.25

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Solution

The third proportional to 87,531 and 190,904.25 is: 416,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,531 : 190,904.25 = 190,904.25 : x
  2. Step 2: Convert to fraction form
    87,531/190,904.25 = 190,904.25/x
  3. Step 3: Cross multiply
    87,531x = 190,904.25 × 190,904.25
  4. Step 4: Simplify right side
    87,531x = 36,444,432,668.06
  5. Step 5: Solve for x
    x = 36,444,432,668.06/87,531
  6. Step 6: Final answer
    x = 416,360.29

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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.