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Finding the Third Proportional to 93,530.50 and 226,428.25

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Solution

The third proportional to 93,530.50 and 226,428.25 is: 548,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,530.50 : 226,428.25 = 226,428.25 : x
  2. Step 2: Convert to fraction form
    93,530.50/226,428.25 = 226,428.25/x
  3. Step 3: Cross multiply
    93,530.50x = 226,428.25 × 226,428.25
  4. Step 4: Simplify right side
    93,530.50x = 51,269,752,398.06
  5. Step 5: Solve for x
    x = 51,269,752,398.06/93,530.50
  6. Step 6: Final answer
    x = 548,160.79

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.