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Finding the Third Proportional to 98,543 and 216,161

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Solution

The third proportional to 98,543 and 216,161 is: 474,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,543 : 216,161 = 216,161 : x
  2. Step 2: Convert to fraction form
    98,543/216,161 = 216,161/x
  3. Step 3: Cross multiply
    98,543x = 216,161 × 216,161
  4. Step 4: Simplify right side
    98,543x = 46,725,577,921
  5. Step 5: Solve for x
    x = 46,725,577,921/98,543
  6. Step 6: Final answer
    x = 474,164.35

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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.