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Finding the Third Proportional to 98,599.62 and 215,959.61

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Solution

The third proportional to 98,599.62 and 215,959.61 is: 473,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,599.62 : 215,959.61 = 215,959.61 : x
  2. Step 2: Convert to fraction form
    98,599.62/215,959.61 = 215,959.61/x
  3. Step 3: Cross multiply
    98,599.62x = 215,959.61 × 215,959.61
  4. Step 4: Simplify right side
    98,599.62x = 46,638,551,194.22
  5. Step 5: Solve for x
    x = 46,638,551,194.22/98,599.62
  6. Step 6: Final answer
    x = 473,009.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.