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Finding the Third Proportional to 192,699 and 209,884.50

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Solution

The third proportional to 192,699 and 209,884.50 is: 228,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,699 : 209,884.50 = 209,884.50 : x
  2. Step 2: Convert to fraction form
    192,699/209,884.50 = 209,884.50/x
  3. Step 3: Cross multiply
    192,699x = 209,884.50 × 209,884.50
  4. Step 4: Simplify right side
    192,699x = 44,051,503,340.25
  5. Step 5: Solve for x
    x = 44,051,503,340.25/192,699
  6. Step 6: Final answer
    x = 228,602.66

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.