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Finding the Third Proportional to 98,613.75 and 216,991.50

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Solution

The third proportional to 98,613.75 and 216,991.50 is: 477,472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,613.75 : 216,991.50 = 216,991.50 : x
  2. Step 2: Convert to fraction form
    98,613.75/216,991.50 = 216,991.50/x
  3. Step 3: Cross multiply
    98,613.75x = 216,991.50 × 216,991.50
  4. Step 4: Simplify right side
    98,613.75x = 47,085,311,072.25
  5. Step 5: Solve for x
    x = 47,085,311,072.25/98,613.75
  6. Step 6: Final answer
    x = 477,472.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.