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Finding the Third Proportional to 93,722.63 and 204,085.13

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Solution

The third proportional to 93,722.63 and 204,085.13 is: 444,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,722.63 : 204,085.13 = 204,085.13 : x
  2. Step 2: Convert to fraction form
    93,722.63/204,085.13 = 204,085.13/x
  3. Step 3: Cross multiply
    93,722.63x = 204,085.13 × 204,085.13
  4. Step 4: Simplify right side
    93,722.63x = 41,650,738,246.27
  5. Step 5: Solve for x
    x = 41,650,738,246.27/93,722.63
  6. Step 6: Final answer
    x = 444,404.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.