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Finding the Third Proportional to 93,911.63 and 208,817.44

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Solution

The third proportional to 93,911.63 and 208,817.44 is: 464,316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,911.63 : 208,817.44 = 208,817.44 : x
  2. Step 2: Convert to fraction form
    93,911.63/208,817.44 = 208,817.44/x
  3. Step 3: Cross multiply
    93,911.63x = 208,817.44 × 208,817.44
  4. Step 4: Simplify right side
    93,911.63x = 43,604,722,204.07
  5. Step 5: Solve for x
    x = 43,604,722,204.07/93,911.63
  6. Step 6: Final answer
    x = 464,316.56

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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.