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Finding the Third Proportional to 98,551.50 and 216,180

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Solution

The third proportional to 98,551.50 and 216,180 is: 474,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,551.50 : 216,180 = 216,180 : x
  2. Step 2: Convert to fraction form
    98,551.50/216,180 = 216,180/x
  3. Step 3: Cross multiply
    98,551.50x = 216,180 × 216,180
  4. Step 4: Simplify right side
    98,551.50x = 46,733,792,400
  5. Step 5: Solve for x
    x = 46,733,792,400/98,551.50
  6. Step 6: Final answer
    x = 474,206.81

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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.