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Finding the Third Proportional to 102,020 and 216,163

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Solution

The third proportional to 102,020 and 216,163 is: 458,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,020 : 216,163 = 216,163 : x
  2. Step 2: Convert to fraction form
    102,020/216,163 = 216,163/x
  3. Step 3: Cross multiply
    102,020x = 216,163 × 216,163
  4. Step 4: Simplify right side
    102,020x = 46,726,442,569
  5. Step 5: Solve for x
    x = 46,726,442,569/102,020
  6. Step 6: Final answer
    x = 458,012.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.