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Finding the Third Proportional to 97,663.50 and 200,511

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Solution

The third proportional to 97,663.50 and 200,511 is: 411,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,663.50 : 200,511 = 200,511 : x
  2. Step 2: Convert to fraction form
    97,663.50/200,511 = 200,511/x
  3. Step 3: Cross multiply
    97,663.50x = 200,511 × 200,511
  4. Step 4: Simplify right side
    97,663.50x = 40,204,661,121
  5. Step 5: Solve for x
    x = 40,204,661,121/97,663.50
  6. Step 6: Final answer
    x = 411,665.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.