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Finding the Third Proportional to 97,084 and 211,736

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Solution

The third proportional to 97,084 and 211,736 is: 461,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,084 : 211,736 = 211,736 : x
  2. Step 2: Convert to fraction form
    97,084/211,736 = 211,736/x
  3. Step 3: Cross multiply
    97,084x = 211,736 × 211,736
  4. Step 4: Simplify right side
    97,084x = 44,832,133,696
  5. Step 5: Solve for x
    x = 44,832,133,696/97,084
  6. Step 6: Final answer
    x = 461,787.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.