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Finding the Third Proportional to 93,213 and 201,978

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Solution

The third proportional to 93,213 and 201,978 is: 437,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,213 : 201,978 = 201,978 : x
  2. Step 2: Convert to fraction form
    93,213/201,978 = 201,978/x
  3. Step 3: Cross multiply
    93,213x = 201,978 × 201,978
  4. Step 4: Simplify right side
    93,213x = 40,795,112,484
  5. Step 5: Solve for x
    x = 40,795,112,484/93,213
  6. Step 6: Final answer
    x = 437,654.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.