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Finding the Third Proportional to 93,165.25 and 201,211.75

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Solution

The third proportional to 93,165.25 and 201,211.75 is: 434,562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,165.25 : 201,211.75 = 201,211.75 : x
  2. Step 2: Convert to fraction form
    93,165.25/201,211.75 = 201,211.75/x
  3. Step 3: Cross multiply
    93,165.25x = 201,211.75 × 201,211.75
  4. Step 4: Simplify right side
    93,165.25x = 40,486,168,338.06
  5. Step 5: Solve for x
    x = 40,486,168,338.06/93,165.25
  6. Step 6: Final answer
    x = 434,562.98

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