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Finding the Third Proportional to 95,647.50 and 209,476.13

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Solution

The third proportional to 95,647.50 and 209,476.13 is: 458,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,647.50 : 209,476.13 = 209,476.13 : x
  2. Step 2: Convert to fraction form
    95,647.50/209,476.13 = 209,476.13/x
  3. Step 3: Cross multiply
    95,647.50x = 209,476.13 × 209,476.13
  4. Step 4: Simplify right side
    95,647.50x = 43,880,246,945.02
  5. Step 5: Solve for x
    x = 43,880,246,945.02/95,647.50
  6. Step 6: Final answer
    x = 458,770.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.