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Finding the Third Proportional to 97,282.69 and 209,572.31

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Solution

The third proportional to 97,282.69 and 209,572.31 is: 451,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,282.69 : 209,572.31 = 209,572.31 : x
  2. Step 2: Convert to fraction form
    97,282.69/209,572.31 = 209,572.31/x
  3. Step 3: Cross multiply
    97,282.69x = 209,572.31 × 209,572.31
  4. Step 4: Simplify right side
    97,282.69x = 43,920,554,166.60
  5. Step 5: Solve for x
    x = 43,920,554,166.60/97,282.69
  6. Step 6: Final answer
    x = 451,473.49

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