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Finding the Third Proportional to 98,600 and 215,858

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Solution

The third proportional to 98,600 and 215,858 is: 472,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,600 : 215,858 = 215,858 : x
  2. Step 2: Convert to fraction form
    98,600/215,858 = 215,858/x
  3. Step 3: Cross multiply
    98,600x = 215,858 × 215,858
  4. Step 4: Simplify right side
    98,600x = 46,594,676,164
  5. Step 5: Solve for x
    x = 46,594,676,164/98,600
  6. Step 6: Final answer
    x = 472,562.64

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