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Finding the Third Proportional to 93,616.50 and 204,729

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Solution

The third proportional to 93,616.50 and 204,729 is: 447,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,616.50 : 204,729 = 204,729 : x
  2. Step 2: Convert to fraction form
    93,616.50/204,729 = 204,729/x
  3. Step 3: Cross multiply
    93,616.50x = 204,729 × 204,729
  4. Step 4: Simplify right side
    93,616.50x = 41,913,963,441
  5. Step 5: Solve for x
    x = 41,913,963,441/93,616.50
  6. Step 6: Final answer
    x = 447,719.83

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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.