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Finding the Third Proportional to 93,501 and 204,528.38

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Solution

The third proportional to 93,501 and 204,528.38 is: 447,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,501 : 204,528.38 = 204,528.38 : x
  2. Step 2: Convert to fraction form
    93,501/204,528.38 = 204,528.38/x
  3. Step 3: Cross multiply
    93,501x = 204,528.38 × 204,528.38
  4. Step 4: Simplify right side
    93,501x = 41,831,856,180.14
  5. Step 5: Solve for x
    x = 41,831,856,180.14/93,501
  6. Step 6: Final answer
    x = 447,394.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.