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Finding the Third Proportional to 94,630 and 207,692

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Solution

The third proportional to 94,630 and 207,692 is: 455,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,630 : 207,692 = 207,692 : x
  2. Step 2: Convert to fraction form
    94,630/207,692 = 207,692/x
  3. Step 3: Cross multiply
    94,630x = 207,692 × 207,692
  4. Step 4: Simplify right side
    94,630x = 43,135,966,864
  5. Step 5: Solve for x
    x = 43,135,966,864/94,630
  6. Step 6: Final answer
    x = 455,838.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.