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Finding the Third Proportional to 93,922.88 and 208,105.88

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Solution

The third proportional to 93,922.88 and 208,105.88 is: 461,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,922.88 : 208,105.88 = 208,105.88 : x
  2. Step 2: Convert to fraction form
    93,922.88/208,105.88 = 208,105.88/x
  3. Step 3: Cross multiply
    93,922.88x = 208,105.88 × 208,105.88
  4. Step 4: Simplify right side
    93,922.88x = 43,308,055,209.52
  5. Step 5: Solve for x
    x = 43,308,055,209.52/93,922.88
  6. Step 6: Final answer
    x = 461,102.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.