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Finding the Third Proportional to 93,911.06 and 208,816.31

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Solution

The third proportional to 93,911.06 and 208,816.31 is: 464,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,911.06 : 208,816.31 = 208,816.31 : x
  2. Step 2: Convert to fraction form
    93,911.06/208,816.31 = 208,816.31/x
  3. Step 3: Cross multiply
    93,911.06x = 208,816.31 × 208,816.31
  4. Step 4: Simplify right side
    93,911.06x = 43,604,252,366.10
  5. Step 5: Solve for x
    x = 43,604,252,366.10/93,911.06
  6. Step 6: Final answer
    x = 464,314.33

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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.