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Finding the Third Proportional to 97,236 and 206,046

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Solution

The third proportional to 97,236 and 206,046 is: 436,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,236 : 206,046 = 206,046 : x
  2. Step 2: Convert to fraction form
    97,236/206,046 = 206,046/x
  3. Step 3: Cross multiply
    97,236x = 206,046 × 206,046
  4. Step 4: Simplify right side
    97,236x = 42,454,954,116
  5. Step 5: Solve for x
    x = 42,454,954,116/97,236
  6. Step 6: Final answer
    x = 436,617.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.