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Finding the Third Proportional to 96,781.25 and 208,870

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Solution

The third proportional to 96,781.25 and 208,870 is: 450,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,781.25 : 208,870 = 208,870 : x
  2. Step 2: Convert to fraction form
    96,781.25/208,870 = 208,870/x
  3. Step 3: Cross multiply
    96,781.25x = 208,870 × 208,870
  4. Step 4: Simplify right side
    96,781.25x = 43,626,676,900
  5. Step 5: Solve for x
    x = 43,626,676,900/96,781.25
  6. Step 6: Final answer
    x = 450,776.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.