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Finding the Third Proportional to 93,678.75 and 142,846.88

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Solution

The third proportional to 93,678.75 and 142,846.88 is: 217,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,678.75 : 142,846.88 = 142,846.88 : x
  2. Step 2: Convert to fraction form
    93,678.75/142,846.88 = 142,846.88/x
  3. Step 3: Cross multiply
    93,678.75x = 142,846.88 × 142,846.88
  4. Step 4: Simplify right side
    93,678.75x = 20,405,229,697.27
  5. Step 5: Solve for x
    x = 20,405,229,697.27/93,678.75
  6. Step 6: Final answer
    x = 217,821.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.