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Finding the Third Proportional to 97,414.50 and 209,877

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Solution

The third proportional to 97,414.50 and 209,877 is: 452,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,414.50 : 209,877 = 209,877 : x
  2. Step 2: Convert to fraction form
    97,414.50/209,877 = 209,877/x
  3. Step 3: Cross multiply
    97,414.50x = 209,877 × 209,877
  4. Step 4: Simplify right side
    97,414.50x = 44,048,355,129
  5. Step 5: Solve for x
    x = 44,048,355,129/97,414.50
  6. Step 6: Final answer
    x = 452,174.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.