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Finding the Third Proportional to 98,958.50 and 215,678

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Solution

The third proportional to 98,958.50 and 215,678 is: 470,065.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,958.50 : 215,678 = 215,678 : x
  2. Step 2: Convert to fraction form
    98,958.50/215,678 = 215,678/x
  3. Step 3: Cross multiply
    98,958.50x = 215,678 × 215,678
  4. Step 4: Simplify right side
    98,958.50x = 46,516,999,684
  5. Step 5: Solve for x
    x = 46,516,999,684/98,958.50
  6. Step 6: Final answer
    x = 470,065.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.