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Finding the Third Proportional to 46,920.89 and 101,222.89

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Solution

The third proportional to 46,920.89 and 101,222.89 is: 218,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,920.89 : 101,222.89 = 101,222.89 : x
  2. Step 2: Convert to fraction form
    46,920.89/101,222.89 = 101,222.89/x
  3. Step 3: Cross multiply
    46,920.89x = 101,222.89 × 101,222.89
  4. Step 4: Simplify right side
    46,920.89x = 10,246,074,377.28
  5. Step 5: Solve for x
    x = 10,246,074,377.28/46,920.89
  6. Step 6: Final answer
    x = 218,369.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.