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Finding the Third Proportional to 93,616 and 201,991

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Solution

The third proportional to 93,616 and 201,991 is: 435,826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,616 : 201,991 = 201,991 : x
  2. Step 2: Convert to fraction form
    93,616/201,991 = 201,991/x
  3. Step 3: Cross multiply
    93,616x = 201,991 × 201,991
  4. Step 4: Simplify right side
    93,616x = 40,800,364,081
  5. Step 5: Solve for x
    x = 40,800,364,081/93,616
  6. Step 6: Final answer
    x = 435,826.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.