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Finding the Third Proportional to 93,921 and 205,749.75

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Solution

The third proportional to 93,921 and 205,749.75 is: 450,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,921 : 205,749.75 = 205,749.75 : x
  2. Step 2: Convert to fraction form
    93,921/205,749.75 = 205,749.75/x
  3. Step 3: Cross multiply
    93,921x = 205,749.75 × 205,749.75
  4. Step 4: Simplify right side
    93,921x = 42,332,959,625.06
  5. Step 5: Solve for x
    x = 42,332,959,625.06/93,921
  6. Step 6: Final answer
    x = 450,729.44

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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.