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Finding the Third Proportional to 95,685.75 and 208,854

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Solution

The third proportional to 95,685.75 and 208,854 is: 455,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,685.75 : 208,854 = 208,854 : x
  2. Step 2: Convert to fraction form
    95,685.75/208,854 = 208,854/x
  3. Step 3: Cross multiply
    95,685.75x = 208,854 × 208,854
  4. Step 4: Simplify right side
    95,685.75x = 43,619,993,316
  5. Step 5: Solve for x
    x = 43,619,993,316/95,685.75
  6. Step 6: Final answer
    x = 455,867.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.