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Finding the Third Proportional to 93,982 and 211,622.50

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Solution

The third proportional to 93,982 and 211,622.50 is: 476,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,982 : 211,622.50 = 211,622.50 : x
  2. Step 2: Convert to fraction form
    93,982/211,622.50 = 211,622.50/x
  3. Step 3: Cross multiply
    93,982x = 211,622.50 × 211,622.50
  4. Step 4: Simplify right side
    93,982x = 44,784,082,506.25
  5. Step 5: Solve for x
    x = 44,784,082,506.25/93,982
  6. Step 6: Final answer
    x = 476,517.66

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.