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Finding the Third Proportional to 101,922 and 216,228

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Solution

The third proportional to 101,922 and 216,228 is: 458,728.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,922 : 216,228 = 216,228 : x
  2. Step 2: Convert to fraction form
    101,922/216,228 = 216,228/x
  3. Step 3: Cross multiply
    101,922x = 216,228 × 216,228
  4. Step 4: Simplify right side
    101,922x = 46,754,547,984
  5. Step 5: Solve for x
    x = 46,754,547,984/101,922
  6. Step 6: Final answer
    x = 458,728.71

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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.