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Finding the Third Proportional to 98,659.90 and 158,891.63

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Solution

The third proportional to 98,659.90 and 158,891.63 is: 255,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,659.90 : 158,891.63 = 158,891.63 : x
  2. Step 2: Convert to fraction form
    98,659.90/158,891.63 = 158,891.63/x
  3. Step 3: Cross multiply
    98,659.90x = 158,891.63 × 158,891.63
  4. Step 4: Simplify right side
    98,659.90x = 25,246,548,495.14
  5. Step 5: Solve for x
    x = 25,246,548,495.14/98,659.90
  6. Step 6: Final answer
    x = 255,894.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.