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Finding the Third Proportional to 94,134 and 207,222

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Solution

The third proportional to 94,134 and 207,222 is: 456,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,134 : 207,222 = 207,222 : x
  2. Step 2: Convert to fraction form
    94,134/207,222 = 207,222/x
  3. Step 3: Cross multiply
    94,134x = 207,222 × 207,222
  4. Step 4: Simplify right side
    94,134x = 42,940,957,284
  5. Step 5: Solve for x
    x = 42,940,957,284/94,134
  6. Step 6: Final answer
    x = 456,168.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.