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Finding the Third Proportional to 93,160.75 and 201,203

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Solution

The third proportional to 93,160.75 and 201,203 is: 434,546.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,160.75 : 201,203 = 201,203 : x
  2. Step 2: Convert to fraction form
    93,160.75/201,203 = 201,203/x
  3. Step 3: Cross multiply
    93,160.75x = 201,203 × 201,203
  4. Step 4: Simplify right side
    93,160.75x = 40,482,647,209
  5. Step 5: Solve for x
    x = 40,482,647,209/93,160.75
  6. Step 6: Final answer
    x = 434,546.17

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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.