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Finding the Third Proportional to 98,770.50 and 209,296.13

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Solution

The third proportional to 98,770.50 and 209,296.13 is: 443,501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,770.50 : 209,296.13 = 209,296.13 : x
  2. Step 2: Convert to fraction form
    98,770.50/209,296.13 = 209,296.13/x
  3. Step 3: Cross multiply
    98,770.50x = 209,296.13 × 209,296.13
  4. Step 4: Simplify right side
    98,770.50x = 43,804,867,940.02
  5. Step 5: Solve for x
    x = 43,804,867,940.02/98,770.50
  6. Step 6: Final answer
    x = 443,501.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.