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Finding the Third Proportional to 98,817 and 216,087

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Solution

The third proportional to 98,817 and 216,087 is: 472,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,817 : 216,087 = 216,087 : x
  2. Step 2: Convert to fraction form
    98,817/216,087 = 216,087/x
  3. Step 3: Cross multiply
    98,817x = 216,087 × 216,087
  4. Step 4: Simplify right side
    98,817x = 46,693,591,569
  5. Step 5: Solve for x
    x = 46,693,591,569/98,817
  6. Step 6: Final answer
    x = 472,525.90

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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.