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Finding the Third Proportional to 93,112 and 200,986

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Solution

The third proportional to 93,112 and 200,986 is: 433,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,112 : 200,986 = 200,986 : x
  2. Step 2: Convert to fraction form
    93,112/200,986 = 200,986/x
  3. Step 3: Cross multiply
    93,112x = 200,986 × 200,986
  4. Step 4: Simplify right side
    93,112x = 40,395,372,196
  5. Step 5: Solve for x
    x = 40,395,372,196/93,112
  6. Step 6: Final answer
    x = 433,836.37

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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.