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Finding the Third Proportional to 94,017 and 206,637

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Solution

The third proportional to 94,017 and 206,637 is: 454,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,017 : 206,637 = 206,637 : x
  2. Step 2: Convert to fraction form
    94,017/206,637 = 206,637/x
  3. Step 3: Cross multiply
    94,017x = 206,637 × 206,637
  4. Step 4: Simplify right side
    94,017x = 42,698,849,769
  5. Step 5: Solve for x
    x = 42,698,849,769/94,017
  6. Step 6: Final answer
    x = 454,160.95

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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.