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Finding the Third Proportional to 102,111.75 and 221,934.38

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Solution

The third proportional to 102,111.75 and 221,934.38 is: 482,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,111.75 : 221,934.38 = 221,934.38 : x
  2. Step 2: Convert to fraction form
    102,111.75/221,934.38 = 221,934.38/x
  3. Step 3: Cross multiply
    102,111.75x = 221,934.38 × 221,934.38
  4. Step 4: Simplify right side
    102,111.75x = 49,254,866,806.64
  5. Step 5: Solve for x
    x = 49,254,866,806.64/102,111.75
  6. Step 6: Final answer
    x = 482,362.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.