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Finding the Third Proportional to 93,881.50 and 208,753

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Solution

The third proportional to 93,881.50 and 208,753 is: 464,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,881.50 : 208,753 = 208,753 : x
  2. Step 2: Convert to fraction form
    93,881.50/208,753 = 208,753/x
  3. Step 3: Cross multiply
    93,881.50x = 208,753 × 208,753
  4. Step 4: Simplify right side
    93,881.50x = 43,577,815,009
  5. Step 5: Solve for x
    x = 43,577,815,009/93,881.50
  6. Step 6: Final answer
    x = 464,178.94

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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.