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Finding the Third Proportional to 98,619.75 and 212,998.50

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Solution

The third proportional to 98,619.75 and 212,998.50 is: 460,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,619.75 : 212,998.50 = 212,998.50 : x
  2. Step 2: Convert to fraction form
    98,619.75/212,998.50 = 212,998.50/x
  3. Step 3: Cross multiply
    98,619.75x = 212,998.50 × 212,998.50
  4. Step 4: Simplify right side
    98,619.75x = 45,368,361,002.25
  5. Step 5: Solve for x
    x = 45,368,361,002.25/98,619.75
  6. Step 6: Final answer
    x = 460,033.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.