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Finding the Third Proportional to 97,269.61 and 209,069.86

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Solution

The third proportional to 97,269.61 and 209,069.86 is: 449,371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,269.61 : 209,069.86 = 209,069.86 : x
  2. Step 2: Convert to fraction form
    97,269.61/209,069.86 = 209,069.86/x
  3. Step 3: Cross multiply
    97,269.61x = 209,069.86 × 209,069.86
  4. Step 4: Simplify right side
    97,269.61x = 43,710,206,099.08
  5. Step 5: Solve for x
    x = 43,710,206,099.08/97,269.61
  6. Step 6: Final answer
    x = 449,371.66

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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.