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Finding the Third Proportional to 98,730 and 216,198

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Solution

The third proportional to 98,730 and 216,198 is: 473,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,730 : 216,198 = 216,198 : x
  2. Step 2: Convert to fraction form
    98,730/216,198 = 216,198/x
  3. Step 3: Cross multiply
    98,730x = 216,198 × 216,198
  4. Step 4: Simplify right side
    98,730x = 46,741,575,204
  5. Step 5: Solve for x
    x = 46,741,575,204/98,730
  6. Step 6: Final answer
    x = 473,428.29

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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.